A novel multi-objective bi-level programming problem under intuitionistic fuzzy environment and its application in production planning problem

This paper presents an optimization method to solve a multi-objective model of a bi-level linear programming problem with intuitionistic fuzzy coefficients. The idea is based on TOPSIS (technique for order preference by similarity to ideal solution) method. TOPSIS method is a multiple criteria metho...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Complex & intelligent systems Ročník 8; číslo 4; s. 3263 - 3278
Hlavní autoři: Singh, V. P., Sharma, Kirti, Chakraborty, Debjani, Ebrahimnejad, Ali
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.08.2022
Springer Nature B.V
Témata:
Complexity
Computational Intelligence
Data Structures and Information Theory
Decision making
Engineering
Fuzzy logic
Fuzzy sets
Linear programming
Multiple criterion
Optimization
Original Article
Production planning
TOPSIS method
Intuitionistic fuzzy number
Fuzzy optimization
Bi-level programming problem
Multi-objective optimization problem
ISSN:2199-4536, 2198-6053
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:This paper presents an optimization method to solve a multi-objective model of a bi-level linear programming problem with intuitionistic fuzzy coefficients. The idea is based on TOPSIS (technique for order preference by similarity to ideal solution) method. TOPSIS method is a multiple criteria method that identifies a satisfactory solution from a given set of alternatives based on the minimization of distance from an ideal point and maximization of distance from the nadir point simultaneously. A new model of multi-objective bi-level programming problem in an intuitionistic fuzzy environment has been considered. The problem is first reduced to a conventional multi-objective bi-level linear programming problem using accuracy function. Then the modified TOPSIS method is proposed to solve the problem at both the leader and the follower level where various linear/non-linear membership functions are used to represent the flexibility in the approach of decision-makers (DMs). The problem is solved hierarchically, i.e., first the problem at the leader level is solved and then the feasible region is extended by relaxing the decision variables controlled by the leader. The feasible region is extended to obtain a satisfactory solution for the DMs at both levels. Finally, the application of the proposed approach in the production planning of a company has been presented. An illustrative numerical example is also given to explain the methodology defined in this paper.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2199-4536
2198-6053
DOI:10.1007/s40747-022-00662-4