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Bi-level Multi-objective Programming Problem with Fuzzy Parameters

by Surapati Pramanik, Partha Pratim Dey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 30 - Number 10
Year of Publication: 2011
Authors: Surapati Pramanik, Partha Pratim Dey
10.5120/3677-5178

Surapati Pramanik, Partha Pratim Dey . Bi-level Multi-objective Programming Problem with Fuzzy Parameters. International Journal of Computer Applications. 30, 10 ( September 2011), 13-20. DOI=10.5120/3677-5178

@article{ 10.5120/3677-5178,
author = { Surapati Pramanik, Partha Pratim Dey },
title = { Bi-level Multi-objective Programming Problem with Fuzzy Parameters },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 30 },
number = { 10 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 13-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume30/number10/3677-5178/ },
doi = { 10.5120/3677-5178 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:16:43.065528+05:30
%A Surapati Pramanik
%A Partha Pratim Dey
%T Bi-level Multi-objective Programming Problem with Fuzzy Parameters
%J International Journal of Computer Applications
%@ 0975-8887
%V 30
%N 10
%P 13-20
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with fuzzy goal programming approach to bi-level multi-objective programming problem with fuzzy parameters. In the proposed approach, the tolerance membership functions for the fuzzily described objective functions are defined by determining individual optimal solution of the objective functions of each of the decision makers. Since the objectives are potentially conflicting in general, possible relaxations of both level decisions are considered by providing preference bounds on the decision variables for avoiding decision deadlock. Then fuzzy goal programming technique is used for achieving highest degree of each of the membership goals by minimizing negative deviational variables. An algorithm is presented with termination criteria. An illustrative numerical example is provided to demonstrate the efficiency of the proposed approach.

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Index Terms

Computer Science
Information Sciences

Keywords

Bi-level programming Deviational variables Fuzzy goal programming Fuzzy parameters Tolerance membership functions

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