Abstract
Spherical fuzzy sets, originally proposed by F.K. Gündogdu, C. Kahraman, Spherical fuzzy sets and spherical fuzzy TOPSIS method, J. Intell. Fuzzy Syst. 36 (2019), 337–352, can handle the information of type: yes, no, abstain and refusal, owing to the feature of broad space of admissible triplets. This remarkable feature of spherical fuzzy set to manage the uncertainty and vagueness distinguishes it from other fuzzy set models. In this research article, we utilize spherical fuzzy sets and prioritized weighted aggregation operators to construct some spherical fuzzy prioritized weighted aggregation operators, including spherical fuzzy prioritized weighted averaging operator and spherical fuzzy prioritized weighted geometric operator. We discuss some properties which are satisfied by these operators. Further, we establish an algorithm to the multi-criteria group decision-making problem by utilizing the aforesaid operators. To elaborate the applicability of proposed operators in decision-making, we apply the algorithm to a numerical example which is related to the appointment for the post of Finance Manager. Finally, to demonstrate the authenticity of presented operators, we conduct a comparison with existing methods.
Highlights
Multi-criteria group decision-making (MCGDM) is a procedure of solving practical problems in different areas, in which the most accurate solution is provided after examining the alternatives over multiple criteria
Gündogdu and Kahraman [6] originated the idea of spherical fuzzy set (FS) (SFS), an extension of picture FS (PFS), which has broadened the space of membership degree (MD) (μ), abstinence degree (AD) (γ) and nonmembership degree (NMD) (ν) in the interval [0, 1] with the condition 0 ≤ μ2 + γ2 + ν2 ≤ 1
Spherical fuzzy model is an indispensable tool to model the unclear information, with the condition 0 ≤ א2 + ħ2 + ρ2 ≤ 1, and an efficient tool to deal the information, when there occurs a neutral or abstinence kind of opinion. This dominating feature of spherical fuzzy model makes it more effective to represent the relevant information of an alternative
Summary
Multi-criteria group decision-making (MCGDM) is a procedure of solving practical problems in different areas, in which the most accurate solution is provided after examining the alternatives over multiple criteria. IFS and PyFS discuss only the MD and the NMD of items in a FS, but, the human opinions are may be of abstinence and refusal type To overcome this issue, Cuong [4,5] presented the concept of picture FS (PFS), an extension of IFS. Akram et al [10] studied the notion of SFS by providing the solution of a DM problem and Akram [11] presented a DM method based on spherical fuzzy graphs. Yu [36] developed IF generalized prioritized weighted averaging and geometric AOs and their application. To develop prioritized weighted AOs under spherical fuzzy environment, which deals the information having prioritization relationship in the data. An MCGDM algorithm, based on spherical fuzzy prioritized weighted AOs, is developed to solve the DM numerical problems.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Computational Intelligence Systems
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
