Fuzziness, Indeterminacy and Soft Sets: Frontiers and Perspectives

Michael Gr. Voskoglou ()
Additional contact information
Michael Gr. Voskoglou: Department of Applied Mathematics, Graduate Technological Educational Institute of Western Greece, 22334 Patras, Greece

Mathematics, 2022, vol. 10, issue 20, 1-15

Abstract: The present paper comes across the main steps that were laid from Zadeh’s fuzziness and Atanassov’s intuitionistic fuzzy sets to Smarandache’s indeterminacy and to Molodstov’s soft sets. Two hybrid methods for assessment and decision making, respectively, under fuzzy conditions are also presented using suitable examples that use soft sets and real intervals as tools. The decision making method improves on an earlier method of Maji et al. Further, it is described how the concept of topological space, the most general category of mathematical spaces, can be extended to fuzzy structures and how to generalize the fundamental mathematical concepts of limit, continuity compactness and Hausdorff space within such kinds of structures. In particular, fuzzy and soft topological spaces are defined and examples are given to illustrate these generalizations.

Keywords: fuzzy set (FS); fuzzy logic (FL); intuitionistic FS (IFS); indeterminacy; neutrosophic set (NS); soft set (SS); decision making (DM); fuzzy topological space (FTS); soft topological space (STS) (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:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/20/3909/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/20/3909/ (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:20:p:3909-:d:949492

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 ().