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Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators

Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzz...

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Main Authors: Ullah, Kifayat, Hassan, Nasruddin, Mahmood, Tahir, Jan, Naeem, Hassan, Mazlan
Format: Article
Language:English
Published: MDPI 2019
Online Access:http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf
http://psasir.upm.edu.my/id/eprint/77835/
https://www.mdpi.com/2073-8994/11/3/357
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spelling my.upm.eprints.778352020-05-04T16:55:13Z http://psasir.upm.edu.my/id/eprint/77835/ Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators Ullah, Kifayat Hassan, Nasruddin Mahmood, Tahir Jan, Naeem Hassan, Mazlan Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzzy set. The goal of this article is to enhance the T-spherical fuzzy set (TSFS) by introducing the interval-valued TSFS (IVTSFS), which describes the uncertainty measure in terms of the membership, abstinence, non-membership, and the refusal degree. The novelty of the IVTSFS over the pre-existing fuzzy structures is analyzed. The basic operations are proposed for IVTSFSs and their properties are investigated. Two aggregation operators for IVTSFSs are developed, including weighted averaging and weighted geometric operators, and their validity is examined using the induction method. Several consequences of new operators, along with their comparative studies, are elaborated. A multi-attribute decision-making method in the context of IVTSFSs is developed, followed by a brief numerical example where the selection of the best policy, among a list of investment policies of a multinational company, is to be evaluated. The advantages of using the framework of IVTSFSs are described theoretically and numerically, hence showing the limitations of pre-existing aggregation operators. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf Ullah, Kifayat and Hassan, Nasruddin and Mahmood, Tahir and Jan, Naeem and Hassan, Mazlan (2019) Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators. Symmetry, 11 (3). art. no. 357. pp. 1-27. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/3/357 10.3390/sym11030357
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzzy set. The goal of this article is to enhance the T-spherical fuzzy set (TSFS) by introducing the interval-valued TSFS (IVTSFS), which describes the uncertainty measure in terms of the membership, abstinence, non-membership, and the refusal degree. The novelty of the IVTSFS over the pre-existing fuzzy structures is analyzed. The basic operations are proposed for IVTSFSs and their properties are investigated. Two aggregation operators for IVTSFSs are developed, including weighted averaging and weighted geometric operators, and their validity is examined using the induction method. Several consequences of new operators, along with their comparative studies, are elaborated. A multi-attribute decision-making method in the context of IVTSFSs is developed, followed by a brief numerical example where the selection of the best policy, among a list of investment policies of a multinational company, is to be evaluated. The advantages of using the framework of IVTSFSs are described theoretically and numerically, hence showing the limitations of pre-existing aggregation operators.
format Article
author Ullah, Kifayat
Hassan, Nasruddin
Mahmood, Tahir
Jan, Naeem
Hassan, Mazlan
spellingShingle Ullah, Kifayat
Hassan, Nasruddin
Mahmood, Tahir
Jan, Naeem
Hassan, Mazlan
Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
author_facet Ullah, Kifayat
Hassan, Nasruddin
Mahmood, Tahir
Jan, Naeem
Hassan, Mazlan
author_sort Ullah, Kifayat
title Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
title_short Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
title_full Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
title_fullStr Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
title_full_unstemmed Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
title_sort evaluation of investment policy based on multi-attribute decision-making using interval valued t-spherical fuzzy aggregation operators
publisher MDPI
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf
http://psasir.upm.edu.my/id/eprint/77835/
https://www.mdpi.com/2073-8994/11/3/357
_version_ 1665896044263636992
score 13.211869

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