A novel decision-making approach based on interval-valued T-spherical fuzzy information with applications

Muhammad Safdar Nazeer; Kifayat Ullah; Amir Hussain

doi:10.59400/jam.v2i2.79

A novel decision-making approach based on interval-valued T-spherical fuzzy information with applications

Muhammad Safdar Nazeer Department of Mathematics, Riphah International University Lahore, Lahore 54000, Pakistan
Kifayat Ullah Department of Mathematics, Riphah International University Lahore, Lahore 54000, Pakistan
Amir Hussain Department of Mathematics, Riphah International University Lahore, Lahore 54000, Pakistan

Article ID: 79

1496 Views, 1305 PDF Downloads

DOI: https://doi.org/10.59400/jam.v2i2.79

Keywords: T-spherical fuzzy set; interval-valued T-spherical fuzzy set; Aczel-Alsina t-norm; decision making

Abstract

Multi-attribute group decision-making (MAGDM) is a very significant technique for selecting an alternative from the provided list. But the major problem is dealing with the information fusion during the information. Aczel-Alsina t-norm (AATN) and Aczel-Alsina t-conorm (AATCN) are the most generalized and flexible t-norm (TN) and t-conorm (TCN), which are used for information processing. Moreover, the interval-valued T-spherical fuzzy set (IVTSFS) is the latest framework to cover the maximum information from the real-life scenarios. Hence, the major contribution of this paper is to deal with the information during the MAGDM process by introducing new aggregation operators (AOs). Consequently, the interval-valued T-spherical fuzzy (IVTSF), Aczel-Alsina weighted averaging (IVTSFAAWA), IVTSF Aczel-Alsina (IVTSFAA) ordered weighted averaging (IVTSFAAOWA), IVTSFAA weighted geometric (IVTSFAAWG), IVTSFAA ordered weighted geometric (IVTSFAAOWG), and IVTSFAA hybrid weighted geometric (IVTSFAAHWG) operators are developed. It is shown that the proposed operators are valid and the results obtained are reliable by discussing some basic properties. To justify the developed AOs, an example of the MAGDM is discussed. The sensitivity of these AOs is observed keeping in view of the variable parameter. To show the importance of the newly developed theory, a comparison of the proposed AOs is established with already existing operators.

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Published

2024-04-01

How to Cite

Nazeer, M. S., Ullah, K., & Hussain, A. (2024). A novel decision-making approach based on interval-valued T-spherical fuzzy information with applications. Journal of AppliedMath, 2(2), 79. https://doi.org/10.59400/jam.v2i2.79

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