Vol. 22 No. 2 (2023): Mapana Journal of Sciences
Research Articles

Trapezoidal Spherical Fuzzy Numbers and its Application to Fuzzy Risk Analysis

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  • V. Dhanalakshmi
V. Dhanalakshmi
Stella Maris College, Chennai
DOI: https://doi.org/10.12723/mjs.65.8

Published 2023-07-14

Keywords

  • Trapezoidal Fuzzy Number,
  • Spherical Fuzzy Set,
  • Fuzzy Risk Analysis,
  • Ranking Function

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Abstract

Spherical fuzzy sets are a broader type of fuzzy sets that have the ability to handle various scenarios using their membership, non-membership, and neutral membership grades. These sets require that the total of the squares of these grades be no greater than one. This condition extends the possible values for the three grades and enables decision makers to have a wider range of options when assessing a situation. In solving real life problems, it is necessary to describe a real number as a spherical fuzzy set to incorporate the fuzziness, thus, the need to use trapezoidal spherical fuzzy numbers (TSFN).  In this paper, the membership functions of the TSFN, their arithmetic operations and their properties are discussed. Also, a ranking function is proposed to order the TSFNs. All these are used to solve a fuzzy risk analysis problem whose parameters are presented as TSFNs.

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