Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators
The objective of this manuscript is to present some new, improved aggregation operators for the T-spherical fuzzy sets, which is an extension of the several existing sets, such as intuitionistic fuzzy sets, picture fuzzy sets, neutrosophic sets, and Pythagorean fuzzy sets. In it, some new, improved...
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doaj-ac8cbfae0b214ee599368f931519f5642020-11-24T22:02:03ZengMDPI AGSymmetry2073-89942018-11-01101267010.3390/sym10120670sym10120670Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation OperatorsHarish Garg0Muhammad Munir1Kifayat Ullah2Tahir Mahmood3Naeem Jan4School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala 147004, Punjab, IndiaDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad 44000, PakistanThe objective of this manuscript is to present some new, improved aggregation operators for the T-spherical fuzzy sets, which is an extension of the several existing sets, such as intuitionistic fuzzy sets, picture fuzzy sets, neutrosophic sets, and Pythagorean fuzzy sets. In it, some new, improved operational laws and their corresponding properties are studied. Further, based on these laws, we propose some geometric aggregation operators and study their various relationships. Desirable properties, as well as some special cases of the proposed operators, are studied. Then, based on these proposed operators, we present a decision-making approach to solve the multi-attribute decision-making problems. The reliability of the presented decision-making method is explored with the help of a numerical example and the proposed results are compared with several prevailing studies’ results. Finally, the superiority of the proposed approach is explained with a counter example to show the advantages of the proposed work.https://www.mdpi.com/2073-8994/10/12/670multi-attribute decision makingaggregation operatorsspherical fuzzy setsinteractive geometric operators |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Harish Garg Muhammad Munir Kifayat Ullah Tahir Mahmood Naeem Jan |
spellingShingle |
Harish Garg Muhammad Munir Kifayat Ullah Tahir Mahmood Naeem Jan Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators Symmetry multi-attribute decision making aggregation operators spherical fuzzy sets interactive geometric operators |
author_facet |
Harish Garg Muhammad Munir Kifayat Ullah Tahir Mahmood Naeem Jan |
author_sort |
Harish Garg |
title |
Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators |
title_short |
Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators |
title_full |
Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators |
title_fullStr |
Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators |
title_full_unstemmed |
Algorithm for T-Spherical Fuzzy Multi-Attribute Decision Making Based on Improved Interactive Aggregation Operators |
title_sort |
algorithm for t-spherical fuzzy multi-attribute decision making based on improved interactive aggregation operators |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2018-11-01 |
description |
The objective of this manuscript is to present some new, improved aggregation operators for the T-spherical fuzzy sets, which is an extension of the several existing sets, such as intuitionistic fuzzy sets, picture fuzzy sets, neutrosophic sets, and Pythagorean fuzzy sets. In it, some new, improved operational laws and their corresponding properties are studied. Further, based on these laws, we propose some geometric aggregation operators and study their various relationships. Desirable properties, as well as some special cases of the proposed operators, are studied. Then, based on these proposed operators, we present a decision-making approach to solve the multi-attribute decision-making problems. The reliability of the presented decision-making method is explored with the help of a numerical example and the proposed results are compared with several prevailing studies’ results. Finally, the superiority of the proposed approach is explained with a counter example to show the advantages of the proposed work. |
topic |
multi-attribute decision making aggregation operators spherical fuzzy sets interactive geometric operators |
url |
https://www.mdpi.com/2073-8994/10/12/670 |
work_keys_str_mv |
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1725837270573907968 |