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Algorithm for T-spherical fuzzy MADM based on associated immediate probability interactive geometric aggregation operators

Algorithm for T-spherical fuzzy MADM based on associated immediate probability interactive... The purpose of writing this manuscript is to point out some limitations of existing associated immediate probability intuitionistic fuzzy geometric aggregation operators as these existing operators fail under some conditions such as the existing operators cannot handle the information given in Pythagorean fuzzy sets, picture fuzzy sets, spherical fuzzy sets, and T-spherical fuzzy sets and the existing aggregation operators also cannot aggregate the membership value when membership value of anyone intuitionistic fuzzy number become zero. To overcome these shortcomings associated immediate probability geometric aggregation operators have been developed for T-spherical fuzzy sets and associated immediate probability interactive geometric aggregation operators are proposed. Then a comparison between these operators is developed with the help of an example. The existing score function for T-spherical fuzzy sets does not involve abstinence so a new score function is developed which provides a better comparison between any two T-spherical fuzzy numbers. To demonstrate the presented algorithm, a decision-making process algorithm is presented with T-SFS features. The advantages of the proposed work are also discussed in which it is shown that under some conditions the proposed operators can be reduced to other tools of uncertainty. The comparison between existing and proposed work is also developed with the help of an example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Artificial Intelligence Review Springer Journals

Algorithm for T-spherical fuzzy MADM based on associated immediate probability interactive geometric aggregation operators

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References (46)

Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature 2021
ISSN
0269-2821
eISSN
1573-7462
DOI
10.1007/s10462-021-09959-1
Publisher site
See Article on Publisher Site

Abstract

The purpose of writing this manuscript is to point out some limitations of existing associated immediate probability intuitionistic fuzzy geometric aggregation operators as these existing operators fail under some conditions such as the existing operators cannot handle the information given in Pythagorean fuzzy sets, picture fuzzy sets, spherical fuzzy sets, and T-spherical fuzzy sets and the existing aggregation operators also cannot aggregate the membership value when membership value of anyone intuitionistic fuzzy number become zero. To overcome these shortcomings associated immediate probability geometric aggregation operators have been developed for T-spherical fuzzy sets and associated immediate probability interactive geometric aggregation operators are proposed. Then a comparison between these operators is developed with the help of an example. The existing score function for T-spherical fuzzy sets does not involve abstinence so a new score function is developed which provides a better comparison between any two T-spherical fuzzy numbers. To demonstrate the presented algorithm, a decision-making process algorithm is presented with T-SFS features. The advantages of the proposed work are also discussed in which it is shown that under some conditions the proposed operators can be reduced to other tools of uncertainty. The comparison between existing and proposed work is also developed with the help of an example.

Journal

Artificial Intelligence Review – Springer Journals

Published: Dec 1, 2021

Keywords: Immediate probability; Associated immediate probability; T-spherical fuzzy sets; Interactive aggregation operators

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