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Fuzzy Optimization and Decision Making

Erschienen in:

06.02.2018

A method to solve linear programming problem with interval type-2 fuzzy parameters

verfasst von: Pradip Kundu, Saibal Majumder, Samarjit Kar, Manoranjan Maiti

Erschienen in: Fuzzy Optimization and Decision Making | Ausgabe 1/2019

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Abstract

In this paper, we propose a method to solve linear programming network problems with constraints using interval type-2 fuzzy variables. The method is developed using generalized credibility measure, and lower and upper membership functions of an interval type-2 fuzzy variable. This method has been applied to solve a solid transportation problem with availabilities and demands of a product, and conveyance capacities, which are represented by trapezoidal interval type-2 fuzzy variables. Moreover, we have also shown that different types of problems with objective function having interval type-2 fuzzy parameters can be solved using the proposed method. Apart from a solid transportation problem, we demonstrate its applicability by solving two different network problems: (i) a shortest path problem and (ii) a minimum spanning tree problem. Suitable numerical examples are provided to illustrate the proposed method

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Titel: A method to solve linear programming problem with interval type-2 fuzzy parameters
verfasst von: Pradip Kundu
Saibal Majumder
Samarjit Kar
Manoranjan Maiti
Publikationsdatum: 06.02.2018
Verlag: Springer US
Erschienen in: Fuzzy Optimization and Decision Making / Ausgabe 1/2019
Print ISSN: 1568-4539
Elektronische ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-018-9287-2

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