Interval-valued T-spherical fuzzy extended power aggregation operators and their application in multi-criteria decision-making

As an effective tool to show the fuzziness of qualitative information, the interval-valued T-spherical fuzzy set can utilize three kinds of information, namely, membership, abstinence, and non-membership, to show the opinions of decision-maker. Given this advantage, many interval-valued T-spherical...

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Vydáno v:Journal of intelligent systems Ročník 33; číslo 1; s. 338 - 53
Hlavní autor: Chen, Lu
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin De Gruyter 01.01.2024
Walter de Gruyter GmbH
Témata:
Abstinence
Comparative analysis
cross-entropy
Decision making
Entropy
extended power aggregation operator
Fuzzy sets
Intelligent systems
interval-value T-spherical fuzzy set
Memberships
multi-criteria decision making
Multiple criteria decision making
Multiple criterion
Qualitative research
Sensitivity analysis
ISSN:2191-026X, 0334-1860, 2191-026X
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Shrnutí:As an effective tool to show the fuzziness of qualitative information, the interval-valued T-spherical fuzzy set can utilize three kinds of information, namely, membership, abstinence, and non-membership, to show the opinions of decision-maker. Given this advantage, many interval-valued T-spherical fuzzy multi-criteria decision-making (IVTSF-MCDM) methods have been designed. However, most of the existing IVTSF-MCDM methods have a common limitation that the inability to effectively show the impacts of extreme data. To address this limitation, this study develops a novel MCDM method based on interval-valued T-spherical fuzzy extended power aggregation operator. First, interval-valued T-spherical fuzzy cross-entropy (CE) and interval-valued T-spherical fuzzy symmetrical CE are defined to measure the difference between two interval-valued T-spherical fuzzy numbers, which are used to determine criteria weights in MCDM. Second, interval-valued T-spherical fuzzy extended power average operator and interval-valued T-spherical fuzzy extended power geometric operator are proposed, and their properties are investigated. Moreover, in view of that criteria may be assigned to different weights, this study defines interval-valued T-spherical fuzzy extended power weighted average operator and interval-valued T-spherical fuzzy extended power weighted geometric operator to derive the order of alternatives. Finally, the applicability of the proposed method is validated by the case about investment country selection, while the sensitivity and comparison analyses are also conducted to further prove its advantages and effectiveness.
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ISSN:2191-026X
0334-1860
2191-026X
DOI:10.1515/jisys-2024-0039