Topological Data Analysis with Spherical Fuzzy Soft AHP-TOPSIS for Environmental Mitigation System

Muhammad Riaz, Shaista Tanveer, Dragan Pamucar and Dong-Sheng Qin
Additional contact information
Muhammad Riaz: Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan
Shaista Tanveer: Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan
Dragan Pamucar: Department of Logistics, Military Academy, University of Defence in Belgrade, 11000 Belgrade, Serbia
Dong-Sheng Qin: Business School, Beijing Technology and Business University, Beijing 100048, China

Mathematics, 2022, vol. 10, issue 11, 1-36

Abstract: The idea of spherical fuzzy soft set (SFSS) is a new hybrid model of a soft set (SS) and spherical fuzzy set (SFS). An SFSS is a new approach for information analysis and information fusion, and fuzzy modeling. We define the concepts of spherical-fuzzy-soft-set topology (SFSS-topology) and spherical-fuzzy-soft-set separation axioms. Several characteristics of SFSS-topology are investigated and related results are derived. We developed an extended choice value method (CVM) and the AHP-TOPSIS (analytical hierarchy process and technique for the order preference by similarity to ideal solution) for SFSSs, and presented their applications in multiple-criteria group decision making (MCGDM). Moreover, an application of the CVM is presented in a stock market investment problem and another application of the AHP-TOPSIS is presented for an environmental mitigation system. The suggested methods are efficiently applied to investigate MCGDM through case studies.

Keywords: SFSS-topology; SFS-separation axioms; environmental mitigation system; choice value method; AHP-TOPSIS (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/11/1826/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/11/1826/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:11:p:1826-:d:824345

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().