Multiple Attribute Group Decision-Making Based on Intuitionistic Fuzzy Schweizer-Sklar Generalized Power Aggregation Operators

Author:

Khan Qaisar1ORCID,Khattak Hizbullah2ORCID,AlZubi Ahmad Ali3ORCID,Alanazi Jazem Mutared3

Affiliation:

1. Department of Mathematics and Statistic University of Haripur, Haripur, Khyber Pakhtunkhwa, Pakistan

2. Department of Computer Science and Information Technology, Hazara University, Mansehra, Khyber Pakhtunkhwa, Pakistan

3. Computer Science Department, Community College, King Saud University, Riyadh, Saudi Arabia

Abstract

An intuitionistic fuzzy set (IFS) is a valuable tool to execute uncertain and indeterminate information. IFSs are more suitable to identify decision-maker’s evaluation data in decision-making problems. Intuitionistic fuzzy aggregation operators (AOs) are of enormous consequences in multiple attribute group decision-making (MAGDM) problems with an intuitionistic fuzzy environment. Consequently, the main impacts of this article are: firstly, to instigate various new novel generalized power AOs based on Schweizer-Sklar operational rules for IFS. Secondly, the study aims to discuss characteristics and particular cases of AOs. The core edge of proposed AOs is that they can eradicate the influence of uncomfortable data which could be too high or too low, making them more admirable for efficiently solving more and more complex MAGDM problems. Thirdly, we instigate two new algorithms to deal with MAGDM established on the generalized Schweizer-Sklar power AOs. Lastly, we appertain the anticipated method and algorithms to health care waste treatment technology selection (HCW-TT) to show the competence of the anticipated method and algorithms. The prevailing novelties of these items are duplex. Firstly, new generalized AOs established on Schweizer-Sklar operational rules are initiated for IFNs. Secondly, two new approaches for IF MAGDM are initiated, one for known decision-makers (DMs) and attributes weights, while the other for unknown DMs and attributes weights.

Funder

King Saud University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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