Open AccessA new interactive approach for solving fully fuzzy mixed integer linear programming
Author(s) -
Farzaneh Khalili,
S H Naseri,
Nemat Allah Taghi-Nezhad
Publication year - 2020
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor181015025k
Subject(s) - integer programming , mathematical optimization , linear programming , fuzzy logic , mathematics , integer (computer science) , fuzzy number , linear fractional programming , computer science , algorithm , fuzzy set , artificial intelligence , programming language
In this paper, a novel method to solve Fully Fuzzy Mixed Integer Linear Programming (FFMILP) problems is presented. Our method is based on the definition of membership function and a fuzzy interactive technique for solving the classical multiobjective programming. It is worthwhile to note that this is the first time that the fully fuzzy mixed integer linear programming problem is discussed and a solving method is presented. To illustrate the steps of the proposed method, some numerical examples are solved and the results are compared with other methods in the literature. Computational results present the application of the method.