An Inexact Rough Interval of Normalized Heptagonal Fuzzy Numbers for Solving Vendor Selection Problem

Authors

Hamiden Abd El-Wahed Khalifa, Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt\\Mathematics Department, College of Science and Arts, Al- Badaya, Qassim University, Saudi ArabiaFollow
Pavan Kumar, Mathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore, MP, India-466114Follow
Bayoumi Ali Hassan, Operations Researches and Decision Support Department, Faculty of Computers and Artificial Intelligence, Cairo University, Giza, EgyptFollow

Author Country (or Countries)

Saudi Arabia

Abstract

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. 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150309

Recommended Citation

Abd El-Wahed Khalifa, Hamiden; Kumar, Pavan; and Ali Hassan, Bayoumi (2021) "An Inexact Rough Interval of Normalized Heptagonal Fuzzy Numbers for Solving Vendor Selection Problem," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 9.
DOI: http://dx.doi.org/10.18576/amis/150309
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/9