Study Of Fuzzy Mathematical Model and Operational Research

Sanjeev Kumar, A. R. Tripathy and Akhilesh Kumar Gupta

International Journal of Scientific Research in Science and Technology, 2026, vol. 13, issue 2, 1122-1127

Abstract: In this present paper, we studied a fuzzy mathematical model. In real life situations, due to impreciseness of parameters in inventory, it is important to consider them as fuzzy numbers. The concept of fuzzy set theory first introduced by Zadeh L. (1965), after that Park (1987) extended the classical EOQ model by introducing the fuzziness of ordering cost and holding cost. A fuzzy model for inventory with backorder, where the backorder quantity was fuzzified as the triangular fuzzy number was presented by Chang et al. (1998). Recently a supply chain inventory model under fuzzy demand was established by Ruoning Xu, Xiaoyan Zhai (2010). Above cited papers reveals that many research articles are developed in which demand is considered as the function of stock level or selling price, shortages are allowed and partially backlogged, but there is no such research paper which is partially backlogged assuming demand rate as the function of selling price with exponentially decaying and inventory level in fuzzy environment. In lots of business practices, it is observed that several parameters in inventory system are imprecise. Therefore, it is necessary to consider them as fuzzy numbers while developing the inventory model [1-17].

Keywords: Fuzzy Mathematical Model; Operation Research (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:etm:ijsrst:v13:y2026:i2:id:1633

DOI: 10.32628/IJSRST26133145

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