Stratified simplex method for solving fuzzy multi-objective linear programming problem | Zendy

Qiumei Liu | Zendy; Fu-Gui Shi | Zendy

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Stratified simplex method for solving fuzzy multi-objective linear programming problem

Author(s) -

Qiumei Liu,

Fu-Gui Shi

Publication year - 2015

Publication title -

journal of intelligent and fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.331

H-Index - 57

eISSN - 1875-8967

pISSN - 1064-1246

DOI - 10.3233/ifs-151934

Subject(s) - simplex algorithm , mathematical optimization , fuzzy logic , linear programming , fuzzy number , mathematics , fuzzy set operations , fuzzy transportation , defuzzification , simplex , computer science , fuzzy set , artificial intelligence , geometry

This paper is to deal with a kind of fuzzy multi-objective linear programming (FMOLP) problem with symmetric trapezoidal fuzzy numbers. Several methods has been proposed in order to obtain fuzzy efficient solution to FMOLP problem. In this paper, we change FMOLP problem into the complete stratified fuzzy linear programming problem, then use the stratified simplex method to obtain the fuzzy optimal solution directly without converting them to crisp linear programming problem. We then prove that this fuzzy optimal solution is the fuzzy efficient solution of the original FMOLP problem. A numerical example is given to illustrate the proposed method.

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