Abstract
In the last few years, several approaches have been proposed in the literature to solve such decision-making problems in which all the collected data is represented by a generalized fuzzy number. Since one of the main steps to propose a decision-making approach is to rank fuzzy numbers. So, several approaches are also proposed to rank fuzzy numbers and generalized fuzzy numbers. In general, limitation of the proposed ranking approach is discussed in the published paper to avoid any type of discrepancy at a later stage. Recently, an approach is proposed for the ranking of generalized fuzzy numbers. It is pertinent to mention that as no limitation of the proposed approach is discussed in the published paper. So, one may assume that the proposed approach is valid for all types of generalized fuzzy numbers. However, the fact is that the proposed approach is valid only for a special type of generalized fuzzy numbers. The aim of this paper is to make the researchers aware about the same special type of generalized fuzzy numbers. To achieve this aim, firstly, an existing approach for comparing generalized fuzzy numbers is discussed. Then, some numerical examples are considered to point out a limitation of the existing approach.
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Gupta, M., Bathla, R.K. (2023). On the Applicability of Possible Theory-Based Approaches for Ranking Fuzzy Numbers. In: Yadav, R.P., Nanda, S.J., Rana, P.S., Lim, MH. (eds) Proceedings of the International Conference on Paradigms of Computing, Communication and Data Sciences. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-19-8742-7_54
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DOI: https://doi.org/10.1007/978-981-19-8742-7_54
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