Fuzzy Set Approach to Solve Multi-objective Linear plus Fractional Programming Problem
نویسندگان
چکیده
In this paper we upgraded the Luhandjula’s method (Fuzzy Sets and Systems, 13(1), (1984), 11-23) for multiple objective linear plus fractional programming problems (MOL+FPP) with modification given by Dutta et al. (Fuzzy Sets and System, 52(1), (1992), 39-45). The aim of this paper is to show new fuzzy set approach for MOL+FPP by defining new membership function for linear function part and similar modified membership function of the goal induced by the quotient part of the objective functions and choose weights corresponding to these goal membership functions. We also provide conditions on the weights indicating the relative importance given by decision maker, so that certain hypothesis verified. We extend the current proof of theorem for MOL+FPP and prove its validity in obtaining the efficient solution. KeywordsFuzzy mathematical programming, multiple objective linear plus fractional programming, linguistic variable, membership function.
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