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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Veröffentlicht in:Fuzzy information and engineering Jg. 5; H. 4; S. 475 - 492
Hauptverfasser: Gupta, Anila, Kumar, Amit, Sharma, Mahesh Kumar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013
Taylor & Francis Group
Schlagworte:
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
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Beschreibung
Zusammenfassung: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