Applications of fuzzy linear programming with generalized LR flat fuzzy parameters

In this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers...

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Bibliographic Details
Published in:Fuzzy information and engineering Vol. 5; no. 4; pp. 475 - 492
Main Authors: Gupta, Anila, Kumar, Amit, Sharma, Mahesh Kumar
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Taylor & Francis Group
Subjects:
Computational Intelligence
Engineering
Linear programming
Original Article
Parameters
Real numbers
Real variables
Fuzzy travelling salesman problem
flat fuzzy number
Fuzzy assignment problem
Fuzzy generalized assignment problem
Generalized
ISSN:1616-8658, 1616-8666
Online Access:Get full text
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Summary:In this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers and other parameters are represented by fuzzy numbers. To overcome the limitations of existing methods, a new method is proposed. The advantage of proposed method over existing methods is demonstrated by solving the problems mentioned above which can or cannot be solved by using the existing methods.
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ISSN:1616-8658
1616-8666
DOI:10.1007/s12543-013-0159-8