An approach toward a Q-neutrosophic soft set and its application in decision making

Majdoleen Abu Qamar, Nasruddin Hassan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation. We also define the necessity and possibility operations of a Q-neutrosophic soft set. Several properties and illustrative examples are discussed. Then, we define the Q-neutrosophic-set aggregation operator and use it to develop an algorithm for using a Q-neutrosophic soft set in decision-making issues that have indeterminate and uncertain data, followed by an illustrative real-life example.

Original languageEnglish
Article number139
JournalSymmetry
Volume11
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

Fingerprint

Soft Set
decision making
Mathematical operators
Agglomeration
Decision making
Decision Making
unions
complement
intersections
set theory
Uncertain Data
Aggregation Operators
Indeterminacy
Hybrid Model
operators
Fuzzy Sets
Uncertainty
Equality
symmetry
Union

Keywords

  • Decision making
  • Neutrosophic set
  • Q-neutrosophic set
  • Q-neutrosophic soft set
  • Soft set

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

An approach toward a Q-neutrosophic soft set and its application in decision making. / Qamar, Majdoleen Abu; Hassan, Nasruddin.

In: Symmetry, Vol. 11, No. 2, 139, 01.02.2019.

Research output: Contribution to journalArticle

@article{45168739cf9343b690df33ee3449f1cf,
title = "An approach toward a Q-neutrosophic soft set and its application in decision making",
abstract = "A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation. We also define the necessity and possibility operations of a Q-neutrosophic soft set. Several properties and illustrative examples are discussed. Then, we define the Q-neutrosophic-set aggregation operator and use it to develop an algorithm for using a Q-neutrosophic soft set in decision-making issues that have indeterminate and uncertain data, followed by an illustrative real-life example.",
keywords = "Decision making, Neutrosophic set, Q-neutrosophic set, Q-neutrosophic soft set, Soft set",
author = "Qamar, {Majdoleen Abu} and Nasruddin Hassan",
year = "2019",
month = "2",
day = "1",
doi = "10.3390/sym11020139",
language = "English",
volume = "11",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "2",

}

TY - JOUR

T1 - An approach toward a Q-neutrosophic soft set and its application in decision making

AU - Qamar, Majdoleen Abu

AU - Hassan, Nasruddin

PY - 2019/2/1

Y1 - 2019/2/1

N2 - A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation. We also define the necessity and possibility operations of a Q-neutrosophic soft set. Several properties and illustrative examples are discussed. Then, we define the Q-neutrosophic-set aggregation operator and use it to develop an algorithm for using a Q-neutrosophic soft set in decision-making issues that have indeterminate and uncertain data, followed by an illustrative real-life example.

AB - A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry. The neutrosophic set was further extended to a Q-neutrosophic soft set, which is a hybrid model that keeps the features of the neutrosophic soft set in dealing with uncertainty, and the features of a Q-fuzzy soft set that handles two-dimensional information. In this study, we discuss some operations of Q-neutrosophic soft sets, such as subset, equality, complement, intersection, union, AND operation, and OR operation. We also define the necessity and possibility operations of a Q-neutrosophic soft set. Several properties and illustrative examples are discussed. Then, we define the Q-neutrosophic-set aggregation operator and use it to develop an algorithm for using a Q-neutrosophic soft set in decision-making issues that have indeterminate and uncertain data, followed by an illustrative real-life example.

KW - Decision making

KW - Neutrosophic set

KW - Q-neutrosophic set

KW - Q-neutrosophic soft set

KW - Soft set

UR - http://www.scopus.com/inward/record.url?scp=85061866564&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061866564&partnerID=8YFLogxK

U2 - 10.3390/sym11020139

DO - 10.3390/sym11020139

M3 - Article

VL - 11

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 2

M1 - 139

ER -