CN109272417A - A kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle - Google Patents

A kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle Download PDF

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CN109272417A
CN109272417A CN201811073012.1A CN201811073012A CN109272417A CN 109272417 A CN109272417 A CN 109272417A CN 201811073012 A CN201811073012 A CN 201811073012A CN 109272417 A CN109272417 A CN 109272417A
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sustainability
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李联辉
雷冰冰
郝宇
丁兵
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North Minzu University
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Abstract

The present invention provides a kind of product manufacture sustainability multi-population discriminating conducts for supporting contradiction to handle, pair rule of operator Weighted Fusions is extracted to carry out fusion of multiple expert groups to product manufacture Evaluation of Sustainability information using conjunction, finally obtains product manufacture sustainability multi-population discrimination results.Both evaluation information unanimous circumstances are considered, it is also contemplated that the case where evaluation information contradiction, and introduce weight factor the equilibrium that reaches conjunction operator between operator of extracting.The conjunction that the present invention designs extract double operator Weighted Fusion rules can support product manufacture sustainability distinguish in contradiction processing, while have the advantages that using it is convenient, be easily programmed realization.

Description

A kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle
Technical field
The present invention relates to sustainable manufacturing field, specially a kind of product manufacture sustainability for supporting contradiction to handle Multi-population discriminating conduct.
Background technique
In the case where the background of sustainable production method is advocated in the whole world, sustainability and environmental problem have become corporate strategy, The important theme of the decisions such as management, processing and manufacturing and product development, sustainable manufacturing also come into being.The US Department of Commerce gives Sustainable manufacturing out is defined as: use is minimum to environment negative impact, energy saving and natural resources, to employee, community and Consumer safety, and the good process of producing product of economy.Feasible manufacturing process in manufacture course of products often has more A, as sustainable manufacturing in the increasingly deep of manufacturing enterprise and is promoted, manufacturing enterprise's key technical problem urgently to be resolved is just Be how the sustainability of product manufacture is distinguished, thus for subsequent process planing, Job-Shop etc. provide according to According to.
By be under the jurisdiction of the experts of multiple groups according to itself experience and wisdom to the sustainability of product manufacture into Row evaluation, and then multi-population evaluation information is merged, it is the practical way that product manufacture sustainability distinguishes.But It is influenced by various complicated factors, such as knowledge background, the practice experience, representative group interest of expert, so that multiple The evaluation information that the expert of group provides when carrying out manufacturing process Evaluation of Sustainability has very strong uncertainty, multi-population The fusion of evaluation information is substantially a uncertain inference decision process.
Evidence theory has unique advantage in information fusion, to obtain as a kind of uncertain reasoning method It is widely applied.When the evaluation information of multiple groups all supports " sustainability of product manufacture is excellent " this proposition, When by these evidence fusions together, fusion results should support this proposition with bigger degree.That is, fusion rule is answered It is able to achieve " focusing downwards ": the subset of smaller radix is focused on from the subset of larger base, consequently facilitating decision and judgement.And have When, it may be conflicting between the evaluation information of certain groups, such as to Mr. Yu Liang Ge group, one of them thinks " product manufacturing The sustainability of technique is excellent ", and another thinks " sustainability of product manufacture be bad ", at this time the two groups pair There are contradictory phenomenas for the evaluation information of product manufacture sustainability.In this case, can obtain " product manufacture can Duration is excellent (second colony is insincere) " or " sustainability of product manufacture is bad (first group is insincere) " Or " sustainability of product manufacture is excellent or bad (can not judge which group is insincere) " this conclusion.Therefore, it is commenting For valence information there are when contradiction, fusion rule should be able to realize " upward " processing, to postpone decision, when avoiding evidence contradiction not Rational conclusion.As it can be seen that multi-population evaluation information there are in contradictory situation, can be generated using traditional evidence fusion rule Perverse conclusion.Therefore, there is an urgent need to one kind to be capable of handling this contradictory product manufacture sustainability for manufacturing industry Discriminating conduct.
Summary of the invention
The present invention provides a kind of product manufacture sustainability multi-population discriminating conducts for supporting contradiction to handle.
The technical scheme is that
A kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle, it is characterised in that: Include the following steps:
Step 1: the opinion rating of setting product manufacture sustainability is m grades: S1,S2,...,Sm, from S1To SmIt can hold Continuous property is gradually successively decreased；
Step 2: the expert from n expert group evaluates the sustainability of product manufacture；
Here:
I-th of expert group includes εiName expert, wherein i=1,2 ..., n；
In i-th of expert group: having λiThe evaluation result of name expert is that " sustainability of product manufacture is definitely Belong to some grade ", wherein evaluation result is that " sustainability of product manufacture belongs to S1Grade, S2Grade ..., Sm Expert's number of grade " is followed successively by εi1、εi2、...、εim, there is εi1+εi2+...+εim=λi；There is μiName expert evaluation result be " sustainability of product manufacture is relatively fuzzyyer, belongs to a certain kind in multiple grades ", wherein evaluation result is " product system The sustainability for making technique belongs to { Sx,...,SyIn a certain kind " expert's number be εi,(x,...,y), wherein x=1, 2 ..., m, y=1,2 ..., m, and x ≠ y, there is ...+εi,(x,...,y)+ ...=μi；λiAnd μiMeet λi+μi=εi；
Step 3: establishing framework of identification Θ={ S of product manufacture Evaluation of Sustainability1,S2,...,Sm}；Specially by n The evaluation information of group of family is considered as evidence, they are further expressed as framework of identification Θ={ S1,S2,...,SmUnder it is basic Probability assignment function, is indicated with mass；Here mass function has n, is expressed as mass1,mass2,...,massn；It is right In massi, have:
Step 4: realizing n mass function mass using conjunction double operator Weighted Fusion rules of extracting1,mass2,..., massnFusion；
The expression formula of conjunction operator are as follows: Wherein mass ' expression n mass function mass of conjunction Operator Fusion1,mass2,...,massnThe mass function obtained afterwards,S=S1,S2,...,Sm,...,{Sx,...,Sy},...；For contradiction coefficient, reflect n mass function mass1, mass2,...,massnBetween contradiction degree, k is bigger to represent n mass function mass1,mass2,...,massnBetween lance Shield degree is higher；
It extracts the expression formula of operator are as follows:Wherein Mass " is indicated with the n mass function mass of Operator Fusion that extract1,mass2,...,massnThe mass function obtained afterwards；
Conjunction is extracted the expression formulas of double operator Weighted Fusion rules are as follows:
Wherein α, β are respectively the weight factor of conjunction operator and operator of extracting, α >=0, β >=0 and alpha+beta=1；Further, Use k as the weight factor for operator of extracting, i.e. β=k, then α=1-k；Conjunction is extracted into double operator Weighted Fusion rules further It indicates are as follows:
Double operator Weighted Fusion rules are extracted to n mass function mass by conjunction1,mass2,...,massnMelted It closes, " ' (the S that successively calculates fusion results: mass1), mass " ' (S2) ..., mass " ' (Sm) ..., mass " ' ({ Sx,..., Sy) ...；
Step 5: calculating framework of identification Θ={ S1,S2,...,SmOn SjThe belief function of gradeWith likelihood score functionForm SjThe trust section of grade [Bel(Sj),Pl(Sj)], j=1,2 ..., m here；
Step 6: according to S1,S2,...,SmTrust section [Bel (S1),Pl(S1)],[Bel(S2),Pl(S2)],..., [Bel(Sm),Pl(Sm)], calculating matrix Δ=(Δj,l)m×m, whereinIndicate fusion results to " product manufacture Sustainability belongs to SjThe degree of support and fusion results of grade " are to " sustainability of product manufacture belongs to SlGrade " The fiducial value of degree of support, here Bel (Sl),Pl(Sl) it is respectively SlTrust section [Bel (the S of gradel),Pl(Sl)] lower limit Value and upper limit value, l=1,2 ..., m；
Step 7: according to matrix Δ=(Δj,l)m×mIf Δj,l> 0.5, then fusion results to " product manufacture can Duration belongs to SjThe degree of support of grade " is higher than fusion results to " sustainability of product manufacture belongs to SlGrade " Degree of support is denoted as Sj> Sl；If Δj,l< 0.5, then fusion results are to " sustainability of product manufacture belongs to SjGrade " Degree of support lower than fusion results to " sustainability of product manufacture belongs to SlThe degree of support of grade ", is denoted as Sj< Sl；If Δj,l=0.5, then fusion results are to " sustainability of product manufacture belongs to SjGrade ", " product manufacture Sustainability belongs to SlThe degree of support of grade " is identical, is denoted as Sj≈Sl；After successively judging, highest evaluation of degree of support etc. Grade is the sustainability rating of product manufacture.
The beneficial effects of the present invention are: extracting pair rule of operator Weighted Fusions using conjunction to carry out multiple expert groups Fusion to product manufacture Evaluation of Sustainability information finally obtains product manufacture sustainability multi-population and distinguishes knot Fruit.Both evaluation information unanimous circumstances are considered, it is also contemplated that the case where evaluation information contradiction, and weight factor is introduced to reach Equilibrium between conjunction operator and operator of extracting.Evidence fusion rule in classical evidence theory can in processing product manufacture Duration distinguish in evidence contradiction when, the error result for running counter to convention can be obtained, compared to the evidence in classical evidence theory Fusion rule, conjunction provided by the invention double operator Weighted Fusion rules of extracting can support product manufacture sustainability to distinguish In contradiction processing.In addition, the present invention using convenient, is easily programmed realization.
Detailed description of the invention
Fig. 1 is a kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle provided by the invention Flow diagram.
Specific embodiment
The preferred embodiments of the present invention will be described in detail below so that advantages and features of the invention can be easier to by It will be appreciated by those skilled in the art that so as to make a clearer definition of the protection scope of the present invention.
Embodiment:
The product manufacture of certain manufacturing enterprise are as follows: roll forming → both ends sawing → notch punching →...→ center pillar, branch Frame welding →...→ antirust treatment → storage, only provides the main contents of the technique here, other omissions.It now needs to the technique Sustainability is distinguished.Implementation steps are as follows:
Step 1: the opinion rating of setting product manufacture sustainability is 3 grades: S1,S2,S3, successively indicate it is excellent, in, It is bad；
Step 2: the expert from 4 expert groups evaluates the sustainability of product manufacture；
Here:
The expert's number for including in 4 expert groups is successively are as follows: ε1=25, ε2=28, ε3=30, ε4=27；
In the 1st expert group, there are 22 experts to think that the sustainability of product manufacture definitely belongs to a certain A grade, wherein thinking that the sustainability of product manufacture belongs to S1Grade, S2Grade, S3Expert's number of grade is followed successively by ε11=20, ε12=1, ε13=1；There are 3 experts to think that the sustainability of product manufacture is relatively fuzzyyer, belongs to multiple grades In a certain kind, wherein thinking that the sustainability of product manufacture belongs to S1,S2Grade, S2,S3Grade, S1,S3Grade it is special Family's number is followed successively by ε1,(1,2)=1, ε1,(2,3)=1, ε1,(1,3)=1；
In the 2nd expert group, there are 24 experts to think that the sustainability of product manufacture definitely belongs to a certain A grade, wherein thinking that the sustainability of product manufacture belongs to S1Grade, S2Grade, S3Expert's number of grade is followed successively by ε21=1, ε22=2, ε23=21；There are 4 experts to think that the sustainability of product manufacture is relatively fuzzyyer, belongs to multiple grades In a certain kind, wherein thinking that the sustainability of product manufacture belongs to S1,S2Grade, S2,S3Grade, S1,S3Grade it is special Family's number is followed successively by ε2,(1,2)=1, ε2,(2,3)=1, ε2,(1,3)=2；
In the 3rd expert group, there are 27 experts to think that the sustainability of product manufacture definitely belongs to a certain A grade, wherein thinking that the sustainability of product manufacture belongs to S1Grade, S2Grade, S3Expert's number of grade is followed successively by ε31=25, ε32=1, ε33=1；There are 3 experts to think that the sustainability of product manufacture is relatively fuzzyyer, belongs to multiple grades In a certain kind, wherein thinking that the sustainability of product manufacture belongs to S1,S2Grade, S2,S3Grade, S1,S3Grade it is special Family's number is followed successively by ε2,(1,2)=1, ε2,(2,3)=1, ε2,(1,3)=1；
In the 4th expert group, there are 23 experts to think that the sustainability of product manufacture definitely belongs to a certain A grade, wherein thinking that the sustainability of product manufacture belongs to S1Grade, S2Grade, S3Expert's number of grade is followed successively by ε41=21, ε42=1, ε43=1；There are 4 experts to think that the sustainability of product manufacture is relatively fuzzyyer, belongs to multiple grades In a certain kind, wherein thinking that the sustainability of product manufacture belongs to S1,S2Grade, S2,S3Grade, S1,S3Grade it is special Family's number is followed successively by ε2,(1,2)=2, ε2,(2,3)=1, ε2,(1,3)=1；
Step 3: establishing framework of identification Θ={ S of product manufacture Evaluation of Sustainability1,S2,S3}；By 4 expert groups The evaluation information of body is considered as evidence, they are further expressed as framework of identification Θ={ S1,S2,S3Under basic probability assignment Function is indicated with mass；Here mass function has 4, respectively mass1,mass2,...,mass4；
For mass1, have: mass1(S1)=0.8000, mass1(S2)=0.0400, mass1(S3)=0.0400, mass1 (S1,S2)=0.0400, mass1(S2,S3)=0.0400, mass1(S1,S3)=0.0400；
For mass2, have: mass2(S1)=0.0357, mass2(S2)=0.0714, mass2(S3)=0.7500, mass2 (S1,S2)=0.0357, mass2(S2,S3)=0.0357, mass2(S1,S3)=0.0714；
For mass3, have: mass3(S1)=0.8333, mass3(S2)=0.0333, mass3(S3)=0.0333, mass3 (S1,S2)=0.0333, mass3(S2,S3)=0.0333, mass3(S1,S3)=0.0333；
For mass4, have: mass4(S1)=0.7778, mass4(S2)=0.0370, mass4(S3)=0.0370, mass1 (S1,S2)=0.0741, mass1(S2,S3)=0.0370, mass1(S1,S3)=0.0370；
Step 4: realizing 4 mass function mass using conjunction double operator Weighted Fusion rules of extracting1,mass2,..., mass4Fusion；
The expression formula of conjunction operator are as follows: Wherein mass ' expression 4 mass function mass of conjunction Operator Fusion1,mass2,...,mass4The mass function obtained afterwards,S=S1,S2,S3,...,{Sx,...,Sy},...； For contradiction coefficient, reflect 4 mass function mass1,mass2,...,mass4Between contradiction degree, k is bigger to represent 4 mass Function mass1,mass2,...,mass4Between contradiction degree it is higher；
It extracts the expression formula of operator are as follows:Wherein Mass " is indicated with the 4 mass function mass of Operator Fusion that extract1,mass2,...,mass4The mass function obtained afterwards；
Conjunction is extracted the expression formulas of double operator Weighted Fusion rules are as follows:
Wherein α, β are respectively the weight factor of conjunction operator and operator of extracting, α >=0, β >=0 and alpha+beta=1；Further, Use k as the weight factor for operator of extracting, i.e. β=k, then α=1-k；Conjunction is extracted into double operator Weighted Fusion rules further It indicates are as follows:
Double operator Weighted Fusion rules are extracted to 4 mass function mass by conjunction1,mass2,...,mass4Melted It closes, " ' (the S that successively calculates fusion results: mass1), mass " ' (S2), mass " ' (S3) ..., mass " ' ({ Sx,...,Sy) ...； That is:
mass″′(S1)=0.7638；
mass″′(S2)=0.0141；
mass″′(S3)=0.1011；
mass″′(S1,S2)=0.0422；
mass″′(S2,S3)=0.0309；
mass″′(S1,S3)=0.0479；
Step 5: calculating framework of identification Θ={ S1,S2,S3On:
S1Belief function Bel (the S of grade1)=0.7638 and likelihood score function Pl (S1)=0.8539 forms S1Grade Trust section [Bel (S1),Pl(S1)]=[0.7638,0.8539]；
S2Belief function Bel (the S of grade2)=0.0141 and likelihood score function Pl (S2)=0.0872 forms S2Grade Trust section [Bel (S2),Pl(S2)]=[0.0141,0.0872]；
S3Belief function Bel (the S of grade3)=0.1011 and likelihood score function Pl (S3)=0.1799 forms S3Grade Trust section [Bel (S3),Pl(S3)]=[0.1011,0.1799]；
Step 6: according to S1,S2,S3Trust section, calculating matrix:
Step 7: according to matrix Δ=(Δj,l)3×3:
Δ1,2=1 > 0.5, then fusion results are to " sustainability of product manufacture belongs to S1The degree of support of grade " Higher than fusion results to " sustainability of product manufacture belongs to S2The degree of support of grade ", is denoted as S1> S2；
Δ1,3=1 > 0.5, then fusion results are to " sustainability of product manufacture belongs to S1The degree of support of grade " Higher than fusion results to " sustainability of product manufacture belongs to S3The degree of support of grade ", is denoted as S1> S3；
Δ2,3=0 < 0.5, then fusion results are to " sustainability of product manufacture belongs to S2The degree of support of grade " Lower than fusion results to " sustainability of product manufacture belongs to S3The degree of support of grade ", is denoted as S2< S3；
Therefore, the highest opinion rating of fusion results degree of support is S1Grade, the i.e. sustainability of product manufacture Grade is S1Grade: excellent.

Claims (1)

1. a kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle, it is characterised in that: including such as Lower step:
Step 1: the opinion rating of setting product manufacture sustainability is m grades: S1,S2,...,Sm, from S1To SmSustainability Gradually successively decrease；
Step 2: the expert from n expert group evaluates the sustainability of product manufacture；
Here:
I-th of expert group includes εiName expert, wherein i=1,2 ..., n；
In i-th of expert group: having λiThe evaluation result of name expert is that " sustainability of product manufacture definitely belongs to Some grade ", wherein evaluation result is that " sustainability of product manufacture belongs to S1Grade, S2Grade ..., SmGrade " Expert's number be followed successively by εi1、εi2、...、εim, there is εi1+εi2+...+εim=λi；There is μiThe evaluation result of name expert is " product The sustainability of manufacturing process is relatively fuzzyyer, belongs to a certain kind in multiple grades ", wherein evaluation result is " product manufacturing work The sustainability of skill belongs to { Sx,...,SyIn a certain kind " expert's number be εi,(x,...,y), wherein x=1,2 ..., m, y =1,2 ..., m, and x ≠ y, there is ...+εi,(x,...,y)+ ...=μi；λiAnd μiMeet λi+μi=εi；
Step 3: establishing framework of identification Θ={ S of product manufacture Evaluation of Sustainability1,S2,...,Sm}；By n expert group The evaluation information of body is considered as evidence, they are further expressed as framework of identification Θ={ S1,S2,...,SmUnder elementary probability Assignment function is indicated with mass；Here mass function has n, is expressed as mass1,mass2,...,massn；For massi, have:
Step 4: realizing n mass function mass using conjunction double operator Weighted Fusion rules of extracting1,mass2,...,massn's Fusion；
The expression formula of conjunction operator are as follows:Wherein Mass ' expression n mass function mass of conjunction Operator Fusion1,mass2,...,massnThe mass function obtained afterwards,S=S1,S2,...,Sm,...,{Sx,...,Sy},...；For contradiction coefficient, reflect n mass function mass1, mass2,...,massnBetween contradiction degree, k is bigger to represent n mass function mass1,mass2,...,massnBetween lance Shield degree is higher；
It extracts the expression formula of operator are as follows:Wherein Mass " is indicated with the n mass function mass of Operator Fusion that extract1,mass2,...,massnThe mass function obtained afterwards；
Conjunction is extracted the expression formulas of double operator Weighted Fusion rules are as follows:
Wherein α, β are respectively the weight factor of conjunction operator and operator of extracting, α >=0, β >=0 and alpha+beta=1；Further, k is used As the weight factor for operator of extracting, i.e. β=k, then α=1-k；Conjunction double operator Weighted Fusion rules of extracting are further indicated that Are as follows:
Double operator Weighted Fusion rules are extracted to n mass function mass by conjunction1,mass2,...,massnIt is merged, " ' (the S that successively calculates fusion results: mass1), mass " ' (S2) ..., mass " ' (Sm) ..., mass " ' ({ Sx,...,Sy) ...；
Step 5: calculating framework of identification Θ={ S1,S2,...,SmOn SjThe belief function of gradeWith likelihood score functionForm SjThe trust section of grade [Bel(Sj),Pl(Sj)], j=1,2 ..., m here；
Step 6: according to S1,S2,...,SmTrust section [Bel (S1),Pl(S1)],[Bel(S2),Pl(S2)],...,[Bel (Sm),Pl(Sm)], calculating matrix Δ=(Δj,l)m×m, whereinIndicate fusion results to " product manufacture Sustainability belongs to SjThe degree of support and fusion results of grade " are to " sustainability of product manufacture belongs to SlGrade " The fiducial value of degree of support, here Bel (Sl),Pl(Sl) it is respectively SlTrust section [Bel (the S of gradel),Pl(Sl)] lower limit Value and upper limit value, l=1,2 ..., m.
Step 7: according to matrix Δ=(Δj,l)m×mIf Δj,l> 0.5, then fusion results to " product manufacture it is sustainable Property belongs to SjThe degree of support of grade " is higher than fusion results to " sustainability of product manufacture belongs to SlThe support of grade " Degree is denoted as Sj> Sl；If Δj,l< 0.5, then fusion results are to " sustainability of product manufacture belongs to SjThe branch of grade " Degree is held lower than fusion results to " sustainability of product manufacture belongs to SlThe degree of support of grade ", is denoted as If Δj,l=0.5, then fusion results are to " sustainability of product manufacture belongs to SjGrade ", " product manufacture can Duration belongs to SlThe degree of support of grade " is identical, is denoted as Sj≈Sl；After successively judging, the highest opinion rating of degree of support The as sustainability rating of product manufacture.
CN201811073012.1A 2018-09-14 2018-09-14 A kind of product manufacture sustainability multi-population discriminating conduct for supporting contradiction to handle Withdrawn CN109272417A (en)

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