Interval valued Q-Fuzzy multiparameterized soft set and its application

Fatma Adam, Nasruddin Hassan

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Molodtsov's soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multiparameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters. This work aims to extend the classical multiparameterized soft sets to interval-valued Q-fuzzy multiparameterized soft (IVQFMP -soft) sets by giving an importance degree for each element in the multiparameterized sets. The equality, subset, complement, union, intersection, ^ and ∨-product operations are defined for the IVQFMP-soft sets. Finally, the proposed IVQFMP-soft set is applied to a decision- making problem, and its effectiveness is demonstrated through a numerical example.

Original languageEnglish
Pages (from-to)309-329
Number of pages21
JournalMalaysian Journal of Mathematical Sciences
Volume10
Issue number3
Publication statusPublished - 1 Sep 2016

Fingerprint

Soft Set
Fuzzy Sets
Interval
Fuzzy Parameters
Set Theory
Equality
Union
Complement
Intersection
Decision Making
Uncertainty
Numerical Examples
Subset

Keywords

  • Approximate function
  • Decision making
  • Membership
  • Multi Q-fuzzy set

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Interval valued Q-Fuzzy multiparameterized soft set and its application. / Adam, Fatma; Hassan, Nasruddin.

In: Malaysian Journal of Mathematical Sciences, Vol. 10, No. 3, 01.09.2016, p. 309-329.

Research output: Contribution to journalArticle

Adam, Fatma ; Hassan, Nasruddin. / Interval valued Q-Fuzzy multiparameterized soft set and its application. In: Malaysian Journal of Mathematical Sciences. 2016 ; Vol. 10, No. 3. pp. 309-329.
@article{f659b0836f924d5e9cfa96c777e56178,
title = "Interval valued Q-Fuzzy multiparameterized soft set and its application",
abstract = "Molodtsov's soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multiparameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters. This work aims to extend the classical multiparameterized soft sets to interval-valued Q-fuzzy multiparameterized soft (IVQFMP -soft) sets by giving an importance degree for each element in the multiparameterized sets. The equality, subset, complement, union, intersection, ^ and ∨-product operations are defined for the IVQFMP-soft sets. Finally, the proposed IVQFMP-soft set is applied to a decision- making problem, and its effectiveness is demonstrated through a numerical example.",
keywords = "Approximate function, Decision making, Membership, Multi Q-fuzzy set",
author = "Fatma Adam and Nasruddin Hassan",
year = "2016",
month = "9",
day = "1",
language = "English",
volume = "10",
pages = "309--329",
journal = "Malaysian Journal of Mathematical Sciences",
issn = "1823-8343",
publisher = "Institute for Mathematical Research",
number = "3",

}

TY - JOUR

T1 - Interval valued Q-Fuzzy multiparameterized soft set and its application

AU - Adam, Fatma

AU - Hassan, Nasruddin

PY - 2016/9/1

Y1 - 2016/9/1

N2 - Molodtsov's soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multiparameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters. This work aims to extend the classical multiparameterized soft sets to interval-valued Q-fuzzy multiparameterized soft (IVQFMP -soft) sets by giving an importance degree for each element in the multiparameterized sets. The equality, subset, complement, union, intersection, ^ and ∨-product operations are defined for the IVQFMP-soft sets. Finally, the proposed IVQFMP-soft set is applied to a decision- making problem, and its effectiveness is demonstrated through a numerical example.

AB - Molodtsov's soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multiparameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters. This work aims to extend the classical multiparameterized soft sets to interval-valued Q-fuzzy multiparameterized soft (IVQFMP -soft) sets by giving an importance degree for each element in the multiparameterized sets. The equality, subset, complement, union, intersection, ^ and ∨-product operations are defined for the IVQFMP-soft sets. Finally, the proposed IVQFMP-soft set is applied to a decision- making problem, and its effectiveness is demonstrated through a numerical example.

KW - Approximate function

KW - Decision making

KW - Membership

KW - Multi Q-fuzzy set

UR - http://www.scopus.com/inward/record.url?scp=85008895442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85008895442&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85008895442

VL - 10

SP - 309

EP - 329

JO - Malaysian Journal of Mathematical Sciences

JF - Malaysian Journal of Mathematical Sciences

SN - 1823-8343

IS - 3

ER -