A NEW MODIFIED OPTIMAL PERFECT MATCHING IN PARTIAL FEASIBLE MATCHING FOR SOLVING FUZZY LINEAR SUM ASSIGNMENT PROBLEMS

Authors

  • A Nagoor Gani Nagoor Gani P.G. and Research Department of Mathematics, Jamal Mohammed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India.
  • T Shiek Pareeth P.G. and Research Department of Mathematics, Jamal Mohammed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India

DOI:

https://doi.org/10.48165/

Keywords:

ω- Trapezoidal fuzzy numbers, Fuzzy dual variables, Bipartite graph, Fuzzy Ranking

Abstract

In this paper, the partial feasible assignment cost and the optimal assignment cost for solving fuzzy linear  sum assignment problem is computed. Here,     is denotes the cost for optimal assigning through the jth job to  the ith person. Here (
) is  -trapezoidal fuzzy number and we use the ranking technique.  

References

. Kaur, Amarpreet and Kumar, Amit (2012). A new approach developed for solving fuzzy transportation problem by using generalised trapezoidal fuzzy numbers, Applied Soft Computing,12, 1201-1213. [2]. Gupta, Anila, Kumar, Amit and Sharma, Mahesh Kumar (2013). Applications of Fuzzy Linear Programming with Generalized LR Flat Fuzzy Parameters, Fuzzy Inf. Eng, 4, 475-492. [3]. Kumar, Amit, Singh, Pushpinder and Kaur, Jagdeep (2010). A generalized simplex algorithm to solve fuzzy linear programming problems with ranking of method generalised fuzzy numbers, Turkish Journal of Fuzzy Systems, Vol.1, No.2, 80-103.

. Bellman, R.E. and Zadeh, L.A. (1970). Decision- making in a fuzzy environment, Management Science, 17B , 141-164.

. Chen, S.J. and Chen, S.M. (2007). Fuzzy risk analysis on the ranking of generalised trapezoidal fuzzy numbers, Appl. Intell. 26, 1-11.

. Lin, Chi-Jen and Wen, Ue-Pyng (2004). A labelling algorithm for the fuzzy assignment problem, Fuzzy Sets and Systems, 142, 373-391.

. Jana, Jishu and Roy, Sankar Kumar (2018). Solution of Matrix Games with generalised trapezoidal Fuzzy Payoffs, 2, 213-224.

. Thorani, Y.L.P. and Ravi Shanker, N. (2013). Fuzzy assignment problem with generalised fuzzy numbers, Applied Mathematical Sciences, 7(71), 3511-3537.

. Zadeh, L.A. (1965). Fuzzy sets, Information and Control, 8, 338-353.

Published

2019-06-25

How to Cite

Nagoor Gani, A.N.G., & Pareeth, T.S. (2019). A NEW MODIFIED OPTIMAL PERFECT MATCHING IN PARTIAL FEASIBLE MATCHING FOR SOLVING FUZZY LINEAR SUM ASSIGNMENT PROBLEMS . Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 38(1), 432–440. https://doi.org/10.48165/