| Title of paper:
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Multiobjective intuitionistic fuzzy linear programming and its application in transportation model
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| Author(s):
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| Bablu Jana
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| Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, West-Bengal, Pin 711103, India
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| Tapan Kumar Roy
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| Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, West-Bengal, Pin 711103, India
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| Published in:
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"Notes on IFS", Volume 13 (2007) Number 1, pages 34—51
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| Download:
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 PDF (365 Kb, Info)
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| Abstract:
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This paper presents a new Intuitionistic Fuzzy Optimization (IFO) approach to solve the a Multi-Objective Linear Programming Problem (MOLPP) under uncertainty. The idea is based on extension of fuzzy optimization. This approach is an application of the intuitionistic fuzzy set. First we have considered a multi-objective linear programming with equality and inequality constraints with Intuitionistic Fuzzy (IF) goals. Their fuzzy non-linear membership and non-membership function have been taken for the degree of rejection of objectives and constraints together with the degree of
satisfaction. Then it converts the said problem into a conventional linear programming problem. Finally we have showed application of this approach in the Capacitated Transportation Problem. Numerical examples are provided to illustrate our new approach.
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| Keywords:
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Fuzzy optimization, Intuitionistic fuzzy sets, Pareto optimal, Non-membership function, Capacitated transportation problem
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| References:
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| Citations:
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