IJPAM: Volume 104, No. 4 (2015)

AN ALGORITHM FOR SOLVING ASSIGNMENT PROBLEMS
WITH COSTS AS GENERALIZED TRAPEZOIDAL
INTUITIONISTIC FUZZY NUMBERS

A. Nagoor Gani$^1$, V.N. Mohamed$^2$
$^{1,2}$PG and Research Department of Mathematics
Jamal Mohamed College (Autonomous)
Tiruchirappalli, 620020, INDIA


Abstract. Assignment problem is a well-known topic and is used very often in solving problems of engineering and management sciences. In this problem $c_{ij} $ denotes the cost for assigning the $j$th job to the $i$th person. This cost is usually deterministic in nature. In this paper $c_{ij} $ has been considered to be generalized trapezoidal intuitionistic fuzzy numbers denoted by $\tilde{c}_{ij} $ which are more realistic and general in nature. Here, we present a new algorithm for solving assignment problems whose costs as generalized trapezoidal intuitionistic fuzzy numbers. We developed the algorithm using the fundamental theorem of fuzzy assignment problems.

Received: June 25, 2015

AMS Subject Classification: 03E72, 90C08

Key Words and Phrases: assignment problem, Intuitionistic fuzzy numbers, generalized trapezoidal intuitionistic fuzzy numbers, ranking of fuzzy numbers

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DOI: 10.12732/ijpam.v104i4.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 4
Pages: 561 - 575


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