CN103150684A - Evaluation index degradation impact analysis method based on analytic hierarchy process - Google Patents
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Abstract
The invention provides an evaluation index degradation impact analysis method based on an analytic hierarchy process. The method comprises step 1 of utilizing the analytic hierarchy process to evaluate an evaluation object to obtain index scoring values rk and J and weight coefficients ak and j of the jth index of the kth layer; step S2 of defining rk and jak, respectively enabling j, (R-rk, j)ak and j to be weighting index values and a degradation weighting index value of the jth index of the kth layer, wherein enabling R to be an index optimal score of the jth index of the kth layer; and step 3 of calculating degradation weighting index values of different indexes, and analyzing the index degradation impact on the evaluation object. According to the evaluation index degradation impact analysis method based on the analytic hierarchy process, difference between the index and the index optimal score is mainly considered and is combined with the weighting coefficient to serve as a basic basis of the degradation impact of each index on an upper-layer index, a weak link is accurately positioned, analysis on models has a wide application range, and the evaluation index degradation impact analysis method based on the analytic hierarchy process can be applied to comprehensive evaluation adopting the analytic hierarchy process.
Description
Technical field
The present invention relates to the distribution system analysis field, be specifically related to the deteriorated impact analysis method of a kind of evaluation index based on analytical hierarchy process.
Background technology
Comprehensive evaluation refers to the objective system of describing with the multiattribute architecture is made evaluation of overall importance, globality, i.e. all to evaluation object, according to the condition of giving, adopt certain method to give an evaluation of estimate for each evaluation object, more accordingly preferentially or sequence.Integrated evaluating method is called again multiple variable synthetical evaluation method, many index comprehensives assessment technology.
Traditional analytical hierarchy process is a kind of of integrated evaluating method, proposed in the seventies in last century by U.S. Pittsburg university, be that the element that decision-making is relevant resolves into the levels such as target, criterion, scheme, carry out the decision-making technique of qualitative and quantitative analysis on this basis.The method is when the problem of " according to each industrial sector, the contribution of national welfare being carried out distributing electric power " for U.S. Department of Defense research, application network Systems Theory and Objective Comprehensive Evaluation Method method, a kind of level weight method of decision analysis of proposition.The AHP method is processed the characteristics of various decision factors with its combination of qualitative and quantitative analysis, and system, flexible, succinct advantage, promptly be widely used in the field at society, economic dispatch, as energy resource system analysis, city planning, economic management, scientific research evaluation etc.
The method has embodied the essential characteristic that the mankind carry out policy-making thought: decompose, judgement and comprehensive, it integrates mathematical method, hierarchical structure, test psychology and comparison trade-off analysis, be a kind of effectively many Criteria Decision Makings instrument.A Key Principles in analytical hierarchy process is the relation of only determining between two adjacent layer minor elements, and each element in identical or different group of same level is that it doesn't matter for hypothesis.
The advantage of the method is by setting up the complicated problem of hierarchical structure decomposition clearly, with the judgement scalarization of relative scale with the people, draw the comprehensive weight of scheme by finding the solution judgment matrix, shortcoming is the ambiguity of having ignored artificial judgement, when the many factors such as uncertain and ambiguity, be subject to the impact of marking person's subjective judgement.In addition, in evaluation procedure, people wish that desired value can reach optimum, but due to the good and bad difference of all kinds of indexs, its assessment result may be not fully up to expectations.Therefore, people more pay close attention to those and make comprehensive index value that deteriorated index item occur, and then can therefrom further find weak link.Though traditional Hierarchy Analysis Method can judge preferably that each index is to the contribution degree of comprehensive evaluation result, but, when the needs analysis makes comprehensive evaluation result that deteriorated influence factor and weak link occur, its basic model can't clearly obtain analysis result, its mathematics meaning is also clear not, can bring certain puzzlement to the analyst.
Summary of the invention
The present invention relates to the deteriorated impact analysis method of a kind of evaluation index based on analytical hierarchy process, described method comprises:
Step S1 uses analytical hierarchy process that evaluation object is estimated, and obtains the index score value r of j index of k layer
k,jWith weight coefficient α
K, j
Step S2, definition r
k,jα
K, j(R-r
k,j) α
K, jBe respectively Weighted Guidelines value and the deteriorated Weighted Guidelines value of j index of described evaluation object k layer;
Wherein, R is the optimum score value of index of j index of k layer;
Step S3, the described deteriorated Weighted Guidelines value of the different indexs of calculating is analyzed the deteriorated impact of index of described evaluation object.
In the first preferred embodiment provided by the invention: described step S1 comprises that also the use analytical hierarchy process carries out comprehensive evaluation to described evaluation object, obtains the comprehensive evaluation result of described k layer index
Wherein, nk represents described k layer index number;
The index model that also comprises the set comprehensive degradation in described step S2 is
Value be the comprehensive bad assessment result of commenting of described k layer index.
In the second preferred embodiment provided by the invention: the optimum score value R of described index is full marks 100 timesharing, for any index score value r
k,j, (100-r
k,j) represent that described index is with respect to the degradation of optimal value.
In the 3rd preferred embodiment provided by the invention: calculate the deteriorated Weighted Guidelines value of different indexs in described step S3, the method for the deteriorated impact of index of analysis and evaluation object is:
Described deteriorated Weighted Guidelines value to described different indexs is carried out sort descending, and is larger with the described deteriorated Weighted Guidelines value of the similar index of layer, larger on the deteriorated impact of the overall target of described evaluation object.
In the 4th preferred embodiment provided by the invention: described method is applied to the comprehensive evaluation result analysis of distribution network planning and operation aspect, also comprise after analyzing the deteriorated impact of different indexs on the overall target of described evaluation object in described step S3: the link of the larger correspondence of described deteriorated Weighted Guidelines value of the similar index of described same layer is weaker, changes the comprehensive bad assessment result of commenting of described evaluation object by improving relative weak link.
In the 5th preferred embodiment provided by the invention: also comprise when in described step S3, the deteriorated impact of index of the described evaluation object of analysis positions and analyses in depth described relative weak link:
Preferentially to deteriorated Weighted Guidelines value and Weighted Guidelines value all the relative weak link of larger correspondence improve, reality improve difficulty very large or not the tool relative weak link of improving operability skip and do not carry out improving.
In the 6th preferred embodiment provided by the invention: analyze each single index to the deteriorated impact of upper strata index comprehensive evaluation result according to Mode of Level Simple Sequence in described step S3, analysis can improve the described relative weak link of described upper strata index comprehensive evaluation result; The deteriorated impact of the described bottom single index of Ordination total according to level on the comprehensive evaluation result of general objective, analysis can improve the described relative weak link corresponding to bottom index of general objective;
Described Mode of Level Simple Sequence refers to for the last layer index, the ranking value of the relative importance of this level and the associated index of described index, and the total sequence of level refers to that described bottommost element is with respect to the ranking value of the relative importance of general objective.
The beneficial effect of a kind of deteriorated impact analysis method of evaluation index based on analytical hierarchy process provided by the invention comprises:
1, the deteriorated impact analysis method of a kind of evaluation index based on analytical hierarchy process provided by the invention, emphasis are considered the gap between index and the optimum score value of index, and combine with weight coefficient, definition r
k,jα
K, j(R-r
k,j) α
K, jBe respectively Weighted Guidelines value and the deteriorated Weighted Guidelines value of index, as analyzing the basic foundation of each index on the deteriorated impact of upper strata index, it is more accurate that weak link is located, and the definition of Weighted Guidelines value and deteriorated Weighted Guidelines value is based on traditional analytical hierarchy process assessment models, and theoretical foundation is comparatively ripe, easy to understand, easy to utilize, have higher practical value, analytical model has the wider scope of application, can be applicable in the middle of all comprehensive evaluations that adopt analytical hierarchy process.
When 2, the deteriorated impact of the index of analysis and evaluation object positions and analyses in depth weak link, consider a lot of actual conditions, difficulty such as the actual improvement of the Weighted Guidelines value of this index and link corresponding to this index makes practical operation more feasible.
3, can analyze each single index to the deteriorated impact of upper strata index comprehensive evaluation result according to Mode of Level Simple Sequence, analysis can improve the relative weak link of upper strata index comprehensive evaluation result; Also can Ordination bottom single index total according to level on the deteriorated impact of the comprehensive evaluation result of general objective, analysis can improve the relative weak link corresponding to bottom index of general objective.
Description of drawings
Be illustrated in figure 1 as the process flow diagram of a kind of deteriorated impact analysis method of evaluation index based on analytical hierarchy process provided by the invention;
Be illustrated in figure 2 as the process flow diagram of the embodiment of a kind of deteriorated impact analysis method of evaluation index based on analytical hierarchy process provided by the invention;
Be illustrated in figure 3 as the Weighted Guidelines value comparison diagram of the embodiment of one group of index provided by the invention;
Be illustrated in figure 4 as the deteriorated Weighted Guidelines value comparison diagram of the embodiment of one group of index provided by the invention.
Embodiment
The below is described in further detail the specific embodiment of the present invention with reference to the accompanying drawings.
The invention provides the deteriorated impact analysis method of a kind of evaluation index based on analytical hierarchy process, its method flow diagram as shown in Figure 1, as shown in Figure 1, the method comprises:
Step S1 uses analytical hierarchy process that evaluation object is estimated, and obtains the index score value r of j index of k layer
k,jWith weight coefficient α
K, j
Step S2, definition r
k,jα
K, j(R-r
k,j) α
K, jBe respectively Weighted Guidelines value and the deteriorated Weighted Guidelines value of j index of evaluation object k layer.Wherein, R is the optimum score value of index of j index of k layer.
Step S3, the deteriorated Weighted Guidelines value of the different indexs of calculating, the deteriorated impact of the index of analysis and evaluation object.
Embodiment one:
The embodiment one of a kind of deteriorated impact analysis method of evaluation index based on analytical hierarchy process provided by the invention is applied to for this appraisal procedure the embodiment that the comprehensive evaluation result of distribution network planning and operation aspect is analyzed, be depicted as the method flow diagram of the embodiment of a kind of deteriorated impact analysis method of evaluation index based on analytical hierarchy process provided by the invention as figure two, as shown in Figure 2, use analytical hierarchy process to carry out comprehensive evaluation to evaluation object in step S1, obtain the comprehensive evaluation result of k layer index
Wherein, n
kRepresent k layer index number.
When k layer index is bottom index, the comprehensive evaluation result of bottom index
Wherein, n represents bottom index number, r
iAnd α
iThe index score value and the weight coefficient that represent respectively i index of the bottom.
The index model that also comprises the set comprehensive degradation in step S2 is
Value be the comprehensive bad assessment result of commenting of k layer index.By formula as seen, S
kWith
Sum just equals the optimum score value R of index, S
kReflected the degree (apart from the distance of 0 minute) that the index trend is optimized,
Reflected the degree (apart from the distance of optimum score value) that the index trend is deteriorated.
If establishing the optimum score value R of index is full marks 100 minutes, so for any index score value r
K, j, (100-r
K, j) just represent that this index is with respect to the degradation of optimal value.Obviously, if all desired value r with the similar index of layer
k,jAll equate, for weight coefficient α
K, jHigher index, it is also larger to the deteriorated negative effect of bringing into play of upper level overall target; Equally, if all weight coefficient α with the similar index of layer
K, jAll equate, for desired value r
k,jLower (i.e. (100-r
k,j) value higher) index, it is also larger to the deteriorated negative effect of bringing into play of upper level overall target.
Calculate the deteriorated Weighted Guidelines value of different indexs in step S3, the method for the deteriorated impact of index of analysis and evaluation object is:
Deteriorated Weighted Guidelines value to different indexs is carried out sort descending, deteriorated Weighted Guidelines value with the similar index of layer is larger, the deteriorated negative effect of bringing into play to the overall target of evaluation object is also larger, link corresponding to this index is weaker, can change the comprehensive bad assessment result of commenting of evaluation object by improving relative weak link in concrete enforcement, be one group of index comprehensive assessment result table as shown in Table 1:
One group of index comprehensive assessment result of table 1
Figure 3 shows that the Weighted Guidelines value comparison diagram of one group of index of table 1 correspondence, the deteriorated Weighted Guidelines value comparison diagram that should organize index shown in Figure 4, comparison diagram 3 and Fig. 4 as can be known, the Weighted Guidelines value of R1, R2, R3 and R4 is relatively large, the deteriorated Weighted Guidelines value of R1, R4 and R8 is relatively large.But the relatively large deteriorated Weighted Guidelines value less of the Weighted Guidelines value of R2 and R3, corresponding is not relative weak link; The Weighted Guidelines value of R1 and R4 and deteriorated Weighted Guidelines value are all relatively large, if obtain larger improvement, on the one hand it deterioratedly affects meeting and significantly reduces, its positive influences can significantly be strengthened again on the other hand, this type of index those index item that weight is higher and desired value is relatively placed in the middle or lower often should be the indexs of first concern; Although the Weighted Guidelines value of R4 is not minimum, deteriorated impact is maximum on comprehensive evaluation for it.
when in step S3, the deteriorated impact of the index of analysis and evaluation object positions and analyses in depth weak link, can consider a lot of actual conditions, difficulty such as the actual improvement of the Weighted Guidelines value of this index and link corresponding to this index, the deteriorated Weighted Guidelines value of different indexs is carried out after sort descending obtains relative weak link, preferentially to deteriorated Weighted Guidelines value and Weighted Guidelines value all larger weak link improve, and can ignore deteriorated Weighted Guidelines value or the less relative weak link of Weighted Guidelines value, very large or do not have a relative weak link of operability and also can skip and do not carry out improving to some actual difficulty of improving.For example, find after to the assessment of somewhere power distribution network, the deteriorated weighting score value of some indexs that relates to rack transformation is all very low, even majority is 0, and the deteriorated impact of this explanation rack transformation is very little, and its relevant construction project can be delayed according to the development of electrical network in good time, the modification of this construction plan, can save electric grid investment, improve its economy, and substantially can not exert an influence to the overall objective value.
Can analyze each single index to the deteriorated impact of upper strata index comprehensive evaluation result according to Mode of Level Simple Sequence in step S3, analysis can improve the relative weak link of upper strata index comprehensive evaluation result, also can Ordination bottom single index total according to level on the deteriorated impact of the comprehensive evaluation result of general objective, analysis can improve the relative weak link corresponding to bottom index of general objective.
Wherein, Mode of Level Simple Sequence refers to that for the last layer index, this level is the ranking value of the relative importance of associated factor with it, and the total sequence of level refers to that bottommost element is with respect to the ranking value of the relative importance of top element (general objective).
Should be noted that at last: above embodiment is only in order to illustrate that technical scheme of the present invention is not intended to limit, although with reference to above-described embodiment, the present invention is had been described in detail, those of ordinary skill in the field are to be understood that: still can modify or be equal to replacement the specific embodiment of the present invention, and do not break away from any modification of spirit and scope of the invention or be equal to replacement, it all should be encompassed in the middle of claim scope of the present invention.
Claims (7)
1. the deteriorated impact analysis method of the evaluation index based on analytical hierarchy process, is characterized in that, described method comprises:
Step S1 uses analytical hierarchy process that evaluation object is estimated, and obtains the index score value r of j index of k layer
k,jWith weight coefficient α
K, j
Step S2, definition r
k,jα
K, j(R-r
k,j) α
K, jBe respectively Weighted Guidelines value and the deteriorated Weighted Guidelines value of j index of described evaluation object k layer;
Wherein, R is the optimum score value of index of j index of k layer;
Step S3, the described deteriorated Weighted Guidelines value of the different indexs of calculating is analyzed the deteriorated impact of index of described evaluation object.
2. the method for claim 1, is characterized in that, described step S1 comprises that also the use analytical hierarchy process carries out comprehensive evaluation to described evaluation object, obtains the comprehensive evaluation result of described k layer index
Wherein, nk represents described k layer index number;
The index model that also comprises the set comprehensive degradation in described step S2 is
Value be the comprehensive bad assessment result of commenting of described k layer index.
3. the method for claim 1, is characterized in that, the optimum score value R of described index is full marks 100 timesharing, for any index score value r
K, j, (100-r
k,j) represent that described index is with respect to the degradation of optimal value.
4. the method for claim 1, is characterized in that, calculates the deteriorated Weighted Guidelines value of different indexs in described step S3, and the method for the deteriorated impact of index of analysis and evaluation object is:
Described deteriorated Weighted Guidelines value to described different indexs is carried out sort descending, and is larger with the described deteriorated Weighted Guidelines value of the similar index of layer, larger on the deteriorated impact of the overall target of described evaluation object.
5. method as claimed in claim 4, it is characterized in that, described method is applied to the comprehensive evaluation result analysis of distribution network planning and operation aspect, also comprise after analyzing the deteriorated impact of different indexs on the overall target of described evaluation object in described step S3: the link of the larger correspondence of described deteriorated Weighted Guidelines value of the similar index of described same layer is weaker, changes the comprehensive bad assessment result of commenting of described evaluation object by improving relative weak link.
6. method as claimed in claim 5, is characterized in that, also comprises when in described step S3, the deteriorated impact of index of the described evaluation object of analysis positions and analyses in depth described relative weak link:
Preferentially to deteriorated Weighted Guidelines value and Weighted Guidelines value all the relative weak link of larger correspondence improve, ignore the described relative weak link of deteriorated Weighted Guidelines value or the less correspondence of Weighted Guidelines value;
Reality improve difficulty very large or not the tool relative weak link of improving operability skip and do not carry out improving.
7. method as claimed in claim 6, it is characterized in that, analyze each single index to the deteriorated impact of upper strata index comprehensive evaluation result according to Mode of Level Simple Sequence in described step S3, analysis can improve the described relative weak link of described upper strata index comprehensive evaluation result; The deteriorated impact of the described bottom single index of Ordination total according to level on the comprehensive evaluation result of general objective, analysis can improve the described relative weak link corresponding to bottom index of general objective;
Described Mode of Level Simple Sequence refers to for the last layer index, the ranking value of the relative importance of this level and the associated index of described index, and the total sequence of level refers to that described bottommost element is with respect to the ranking value of the relative importance of general objective.
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Application publication date: 20130612 |