What is it about?
Vendor selection problem is considered very complicated because a variety of unpredictable and uncontrollable factors affected the evaluation and decision making process. In this paper, a vendor selection problem (VSP) where the buyer allocates a quantity order for a commodity among a set of supplier to achieve the requirements of aggregate cost, service and lead time at the maximum equality is studied.
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Why is it important?
One of the best inexact intervals, namely an inexact rough interval of normalized heptagonal fuzzy numbers is proposed. An inexact rough interval of normalized heptagonal fuzzy numbers for solving VSP without converting it into a deterministic (crisp) problem is developed. An inexact rough interval for parameters represents its dual uncertainty. A solution method for solving HFNVSP is introduced. In the end, an example is solved to clarify the proposed method.
Perspectives
In this paper, a new method for solving fuzzy rough linear programming problems without converting the fuzzy coefficients into its crisp values was proposed. Although the calculations required more effort, the method is considered more effective than the other methods, where our problem reduces to a four classical linear programming problems, each of them can be easily solved even manually. The proposed approach has several future directions. One can consider the neutrosophic sets to cope with uncertainty in the proposed model. In addition, we can impose more real life constraint to the optimization model.
Dr. PAVAN KUMAR
VIT Bhopal University
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This page is a summary of: An Inexact Rough Interval of Normalized Heptagonal Fuzzy Numbers for Solving Vendor Selection Problem, Applied Mathematics & Information Sciences, May 2021, Natural Sciences Publishing,
DOI: 10.18576/amis/150309.
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