The content of the invention
For problem of the prior art, the present invention proposes a kind of multiple target trophic model and optimization method, bent in nutrition
On the basis of provision of on-line analysis methodology, comprehensive individual age, height, body weight, sex, moving situation, environment, individual body organization factorses, life
The antagonism, proportionate relationship etc. lived between custom, eating habit, disease condition, metabolism status, nutrient, has re-established one
The multiple target trophic model of individual Problem with Some Constrained Conditions, and appropriate optimization method is used, overall Nutritional solutions are provided for individual,
Further laid the first stone for diet nutritional science decision.
Preferably to obtain individual nutrition demand global optimization scheme, the present invention is established one and analyzed based on nutrition curve
The multiple objective function model of the multifactor constraints of method.When establishing the multiple objective function model of multifactor constraints,
Effect (synergy, antagonism) between nutrient, the proportionate relationship between nutrient are not only allowed for, is also taken into full account
Habits and customs, drug administration, environmental factor, individual primary metabolism status, body structural constituent, morbid state, different physiological periods
(such as:Old age, pregnancy period, teenager etc.) etc. to the Special Influences of some nutrients.Institute involved in model is nutritious in principle
Composition is all to need the target that optimizes, such as gross energy, protein, fat, carbohydrate, calcium, potassium, iron, zinc, phosphorus, sodium, various
Vitamin, dietary fiber etc.;The synergy between proportionate relationship, nutrient, antagonism between nutrient, life are practised
Used, drug administration, environmental factor etc. are to the Special Influences of some nutrients, and different physiological periods are to the spy of some nutrients
Different demand.An individual nutrition needs of problems actually complicated, huge many factors constraints and Multi-objective Decision Model.
Need to take into full account many factors and constraints for influenceing individual nutrition demand, and establish a multiple objective function and model,
The individual nutrition total optimization solution obtained by appropriate optimized algorithm.
Based on above-mentioned model and algorithm, the present invention also develops a set of multiple target nutrition Optimum Decision Support System, user
Can be by input system according to sex, age, Dietary, motion conditions, habits and customs, drug administration, environmental factor, difference
Physiological period, with reference to multiple objective function model parameters such as metabolism monitoring, the measurement of body tissue, motion and the monitorings of disease, pass through
Network analysis, user finally obtain the nutritional programs after global optimization.
Embodiment
The present invention is changed based on existing nutrition curve analysis method to nutrition curve function and mathematical modeling
Enter, it is proposed that a multiple target nutrition Optimized model based on fuzzy mathematics membership function Problem with Some Constrained Conditions.The model includes
25 kinds of nutrients including energy, the intake of various nutrients is expressed using the membership function in fuzzy mathematics and individual is good for
Corresponding relation between health situation, if xiIt is the daily intaking amount (1≤i≤25) of i-th kind of nutrient, with being subordinate to for following L-R types
Curvilinear function represents the corresponding relation:
Wherein, R is real number field, and function allows to be divided into three sections on section (0, c) fuzzy, i.e., and (0, a), [a, b), [b, c),
A and b is predetermined fragmentation value, it is preferred that for different xi, different a/b/c values are had according to metabolism monitoring.Function FLWith
FRIt is left piecewise function and right piecewise function, both need not be symmetrical, and those skilled in the art can be according to specific nutrition
Element and individual health situation design FLAnd FR, some existing specific design methods in this area, here is omitted.The person in servitude
It is a regular convex function to belong to curvilinear function.
It is subordinate to curve by above-mentioned, establishes multiple target nutrition Optimized model, influences the n kinds battalion of the overall nutrition condition of individual
The n object function that foster element can regard multiobjective decision-making as (mainly considers in current Chinese food component list 2004 here
25 including the energy kind main nutrients listed).Remaining influences multifactor (age, the body of individual nutrition changes in demand
Height, body weight, sex, moving situation, environment, individual body organization factorses, habits and customs, eating habit, disease condition, metabolism shape
Antagonism, proportionate relationship etc. between condition, nutrient) then conversion cost model constraints, when being subordinate to for all nutrients
After curvilinear function and constraints determine, the acquisition of nutritional need optimal value has been converted to asking for the optimal value of multiple target
Take problem.
In order to ask for the optimal value of multiple target, it can be asked for and effectively solved, be i.e. Pareto optimal solutions.For the more of the present invention
Target nutrition Optimized model, its effective solution is found, it is necessary to set one to effective result appraisal index, and with satisfaction about
The virtual value of the nutrient of beam condition is closer to optimal value, and the index is also closest to maximum or minimum value.According to the present invention's
One embodiment, using overall assessment indexs of the following P as nutrition condition, i.e.,:
In above formulaRefer to fuzzy corresponding to actual average daily intake in the nutrition curve of i-th kind of nutrient
Value, n are the species numbers of nutrient for needing to consider in meals.Compensation in usual decision-making problem of multi-objective between desired value, it is
It is balanced that certain is obtained between best and the worst desired value, mean operator is often used to realize this conversion, but is occupied with China
People's nutrient is compared with reference to the average (arithmetic equal value, geometric mean and harmomic mean) of recommended intake, and P is closer minimum
Value, it characterizes logical "and";IfThen P → 0, when illustrating using P evaluation Meal Nutrition Conditions, low degree of membership
Nutrient can to individual overall nutrition condition have strong influence, can objectively respond individual actual nutrition condition;It is approximate
In calculating, P is convex function, can obtain optimum value, can determine that whether a kind of nutritional status of diet structure is better than another meals
Eat the nutritional status of structure.Therefore P can be bent in the nutrition of various nutrients as the overall assessment index of individual nutrition situation
After line determines, the quality of the current nutrition intake situation of the individual can be relatively easily judged by P values.
25 object functions in the multiple target nutrition Optimized model of the present invention are asymmetric fuzzy membership curvilinear function, can
To be solved using cut set method.In cut set method, each nutrient x in nutrition curveiDegree of membership for obscuring tolerance interval (0, c)
φ(xi), represent " satisfaction " to fuzzy constraint.φ(xiDuring)=0, the constraints is unmet, φ (xiDuring)=1,
The constraints is strictly met, when 0<φ(xi)<When 1, the constraint portions are met.
Use amRepresent xmTo the satisfaction of fuzzy constraint, it is designated as:am=φ (xm) in fuzzy permission section (0, c), it is subordinate to
Spend φ (xm) >=λ section composition is the λ horizontal cut sets on number theory domain.
It is different such as pregnant to the demand of Different Nutrition element under proportionate relationship, various states between the model nutrition
Phase is not only different from common woman to demands such as calcium, iron, zinc, protein, dietary fiber, iodine, energy, folic acid, also as pregnant week
Change, same person can also change to the demand of some nutrients, and these factors are required in Optimized model and optimized
Paid attention in journey.25 kinds of nutritions including energy are all the target for needing to optimize in this model, between them
Blend proportion be also to need the target that optimizes.Other individual status includes the disease related to nutrition intake (fat, sugar
Urine disease, hypertension etc.), environmental factor, habits and customs (stay up late, take antibiotic, strenuous exercise, pressure big etc.), diet
Custom (based on partially oily, partially salty, carnivorous, based on vegetarian diet etc.), different phase (pregnancy, lactation, old man, the teenager of physiological status
Deng) individual needed for the ratio of gross energy shared by three big macroelements be not quite similar, the demands of some specific nutrients also with
Individual state has large change.Therefore these need designing a model, constraints and needing emphasis during overall evaluation index
The content of consideration.
Although P can as the overall assessment index of individual nutrition situation, after the nutrition curve of various nutrients determines,
Also the quality of the current nutrition intake situation of the individual can be relatively easily judged by P values.But can not take into account it is above-mentioned it is various because
Element, it is therefore desirable to redesigned to P.According to second embodiment of the present invention, Different Nutrition element under different situations is considered
Different significance levels in object module, for the difference of the situation demand of Different Individual, introduce weights omegajImprove nutrition
The overall assessment index of situation, new overall assessment index P ' are as follows:
And
WhereinIt is that i-th kind of nutrient allows section A fuzzyiOn membership function, ωiIt is its weight, n is
The species number of nutrient considered is needed in meals.
For new overall assessment index P ', optimal solution is asked for it, it is possible to obtain the optimal of multiple target nutrient and take the photograph
Enter solution.Specific algorithm is as follows:
(1) initialization step:Initial value is taken for n kind nutrientsIf iteration error is ε, order
Cyclic variable j=0, for each xi, have following L-R types is subordinate to curve
It is subordinate to curve according to above-mentioned, obtain allows section A fuzzyiIn membership function
(2) by membership functionFollowing global optimization Index Formula is substituted into,
WhereinωiIt is xiWeighted value, be previously set according to different situations.
(3) j increases by 1, if j=n, go to step (7);
(4) willN value in array arranges from big to small according to weighted value, takes the value for coming jth position (to be assumed to be xi),
By xiValue increase a predetermined step value, so as to obtain new array, according to the new array, recalculate global excellent
Change index, obtain
(5) ifSet up, go to step (6), otherwise go to step (7)
(6) makeReturn to step (3);
(7) judgeWhether set up, if set up, go to step (10);
(8) if j=n, j=0 is made;
(9) step (3) is gone to;
(10) x is exportedλ’=[x1, x2... xn]TAndTerminate.
Referring to Fig. 1, inquired about in order to facilitate user and implement nutrition design, the present invention is based on above-mentioned multiple target nutrition optimization side
Method, it is proposed that a kind of multiple target nutrition Optimum Decision Support System, the system include one or more client's subsystems, Yi Jiyi
Individual computing subsystem.Wherein client's subsystem receives the various nutrients type and initial value of user's input, sends it to meter
Operator Systems, computing subsystem are calculated using the multiple target nutrition optimization method of the present invention, obtained individual according to above-mentioned input
Property nutritional programs, client's subsystem is returned to by the output result of calculating.
Below by one 32 years old, 159 centimetres of height, body weight 52.45kg, exemplified by pregnant early stage women.Coordinate its dietary survey,
Motion monitoring, the measurement of body tissue, and Model for Multi-Objective Optimization and optimized algorithm using this paper, obtain following personalized battalion
The scheme of supporting:
The embodiments of the present invention described above are not intended to limit the scope of the present invention.It is any in the present invention
Spirit and principle within the modifications, equivalent substitutions and improvements made etc., should be included in the claim protection model of the present invention
Within enclosing.