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Multi-objective Assignment Problem with Generalized Trapezoidal Fuzzy Numbers

Surapati Pramanik, Pranab Biswas Published in Fuzzy Systems

International Journal of Applied Information Systems
Year of Publication 2012
© 2010 by IJAIS Journal
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  1. Surapati Pramanik and Pranab Biswas. Article: Multi-objective Assignment Problem with Generalized Trapezoidal Fuzzy Numbers. International Journal of Applied Information Systems 2(6):13-20, May 2012. BibTeX

    	author = "Surapati Pramanik and Pranab Biswas",
    	title = "Article: Multi-objective Assignment Problem with Generalized Trapezoidal Fuzzy Numbers",
    	journal = "International Journal of Applied Information Systems",
    	year = 2012,
    	volume = 2,
    	number = 6,
    	pages = "13-20",
    	month = "May",
    	note = "Published by Foundation of Computer Science, New York, USA"


The aim of this paper is to study multi-objective assignment problem with imprecise costs, time and ineffectiveness instead of its precise information. Here, elements of cost matrix, consumed time matrix and ineffectiveness level matrix have been represented by generalized trapezoidal fuzzy numbers as it is suitable way to represent the impreciseness of values provided by the decision makers due to time pressure or limited information and poor information processing capabilities. A priority based fuzzy goal programming method has been developed for generalized trapezoidal fuzzy numbers and it is applied for multi-objective assignment problem. Euclidean distance function is used to identify the most appropriate priority structure of fuzzy goals among the different priorities of the fuzzy goals. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.


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Fuzzy Sets; Generalized Trapezoidal Fuzzy Numbers; Multi-objective Assignment Problem; Priority Based Fuzzy Goal Programming