A Ranking Approach for Intuitionistic Fuzzy Numbers and its Application

 

Amit Kumar, Manjot Kaur*

 

School of Mathematics and Computer Applications Thapar University, Patiala-147004, India. *manjot.thaparian@gmail.com.

 

ABSTRACT

To the best of our knowledge very few methods have been proposed in previous studies for comparing intuitionistic fuzzy (IF) numbers. In this paper, the limitations and the shortcomings of all these existing methods are pointed out. In order to overcome these limitations and shortcomings a new ranking approach-by modifying an existing ranking approach-is proposed for comparing IF numbers. Thus, with the help of proposed the ranking approach, a new method is proposed to find the optimal solution of such unbalanced minimum cost flow (MCF) problems in which all the parameters are represented by IF numbers.

Keywords: manufacturing system, replenishment lot size, discontinuous issuing policy, algebraic approach, imperfect EPQ model, rework.

 

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Acknowledgements

I, Dr. Amit Kumar, want to acknowledge the adolescent inner blessings of Mehar. I believe that Mehar is an angel for me and without Mehar's blessing it would not be possible to mature the idea proposed in this paper. Mehar is a lovely daughter of Parmpreet Kaur (Research Scholar under my supervision). The authors also acknowledge the financial support given by the University Grant Commission, Govt. of India for completing the Major Research. Project (39-40/2010(SR)).

 

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