Solution of Fuzzy Multi-Objective Linear Programming Problems using Fuzzy Programming Techniques based on Exponential Membership Functions

Priyadarsini Rath; Rajani B. Dash

doi:https://doi.org/10.14445/22315373/IJMTT-V41P529

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 3 | Year 2017 | Article Id. IJMTT-V41P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P529

Solution of Fuzzy Multi-Objective Linear Programming Problems using Fuzzy Programming Techniques based on Exponential Membership Functions

Priyadarsini Rath, Rajani B. Dash

Citation :

Priyadarsini Rath, Rajani B. Dash, "Solution of Fuzzy Multi-Objective Linear Programming Problems using Fuzzy Programming Techniques based on Exponential Membership Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 3, pp. 289-292, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P529

Abstract

In this paper a Fuzzy Multi Objective LPP is first reduced to crisp Multi Objective LPP using ranking function. The crisp Multi Objective LPP is then solved by Zimmerman Technique using exponential membership functions. The results are compared with those obtained using trapezoidal and hyperbolic membership functions in Zimmerman Technique.

Keywords

Multi Objective Linear Programming Problem, Fuzzy Multi-objective Linear Programming Problem, Exponential Membership Function.

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