Penalty method for fuzzy linear programming with trapezoidal numbers | Zendy

Bogdana Stanojević | Zendy; Milan Stanojević | Zendy

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Penalty method for fuzzy linear programming with trapezoidal numbers

Author(s) -

Bogdana Stanojević,

Milan Stanojević

Publication year - 2009

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/yjor0901149s

Subject(s) - mathematical optimization , fuzzy number , mathematics , trapezoidal rule , penalty method , fuzzy logic , linear programming , constraint (computer aided design) , algorithm , computer science , fuzzy set , artificial intelligence , mathematical analysis , geometry , numerical integration

In this paper we shall propose an algorithm for solving fuzzy linear programming problems with trapezoidal numbers using a penalty method. We will transform the problem of maximizing a function having trapezoidal fuzzy number values under some constraints into a deterministic multi-objective programming problem by penalizing the objective function for possible constraint violation. Furthermore, the obtained deterministic problem will have only unavoidable inequalities between trapezoidal fuzzy numbers parameters as constraints

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