Three-Way Decisions with Single-Valued Neutrosophic Uncertain Linguistic Decision-Theoretic Rough Sets Based on Generalized Maclaurin Symmetric Mean Operators

Zeeshan Ali (), Tahir Mahmood () and Florentin Smarandache ()
Additional contact information
Zeeshan Ali: International Islamic University
Tahir Mahmood: International Islamic University
Florentin Smarandache: University of New Mexico

A chapter in Neutrosophic Operational Research, 2021, pp 71-101 from Springer

Abstract: Abstract Single-valued neutrosophic uncertain linguistic variable (S-VNULV) is a mixture of two different notions like single-valued neutrosophic set (S-VNS) and uncertain linguistic variable (ULV) to cope with complicated and awkward information in realistic decision problems. The aims of this manuscript are to explore three-way decision (T-WD) based on decision-theoretic rough set (D-TRS) for S-VNULV, and their some operational laws are also presented. Further, based on the S-VNULV, the generalized Maclaurin symmetric mean (MSM) operators are called single-valued neutrosophic uncertain linguistic generalized MSM (S-VNULGMSM) operator and single-valued neutrosophic uncertain linguistic weighted generalized MSM (S-VNULWGMSM) operator, and their special cases are also discussed. Based on the explored operator and D-TRS, we explored an algorithm to evaluate the numerical example for finding the reliability and effectiveness of the presented approaches.

Keywords: Decision-theoretic rough sets; Three-way decisions; Single-valued neutrosophic uncertain linguistic variables; Generalized Maclaurin symmetric mean operators (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-030-57197-9_5

Ordering information: This item can be ordered from
http://www.springer.com/9783030571979

DOI: 10.1007/978-3-030-57197-9_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().