Fuzzy parameterized complex neutrosophic soft expert set for decision under uncertainty

Ashraf Al-Quran, Nasruddin Hassan, Shawkat Alkhazaleh

Research output: Contribution to journalArticle

Abstract

In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight. These new mathematical frameworks reduce the chance of unfairness in the decision making process. Some essential operations with their properties and relevant laws related to the notion of FP-CNSES are defined and verified. The notation of mapping on fuzzy parameterized complex neutrosophic soft expert classes is defined and some properties of fuzzy parameterized complex neutrosophic soft expert images and inverse images was investigated. FP-CNSES is used to put forth an algorithm on decision-making by converting it from complex state to real state and subsequently provided the detailed decision steps. Then, we provide the comparison of FP-CNSES to the current methods to show the ascendancy of our proposed method.

Original languageEnglish
Article number382
JournalSymmetry
Volume11
Issue number3
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Decision making
decision making
Uncertainty
coding
Decision Making
Notation
Modeling

Keywords

  • Complex neutrosophic set
  • Complex neutrosophic soft expert set
  • Fuzzy parameterized single valued neutrosophic soft expert set
  • Single valued neutrosophic set
  • Soft expert set

ASJC Scopus subject areas

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

Cite this

Fuzzy parameterized complex neutrosophic soft expert set for decision under uncertainty. / Al-Quran, Ashraf; Hassan, Nasruddin; Alkhazaleh, Shawkat.

In: Symmetry, Vol. 11, No. 3, 382, 01.01.2019.

Research output: Contribution to journalArticle

Al-Quran, Ashraf ; Hassan, Nasruddin ; Alkhazaleh, Shawkat. / Fuzzy parameterized complex neutrosophic soft expert set for decision under uncertainty. In: Symmetry. 2019 ; Vol. 11, No. 3.
@article{bbeb43bd2d874d708dc600d19e685672,
title = "Fuzzy parameterized complex neutrosophic soft expert set for decision under uncertainty",
abstract = "In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight. These new mathematical frameworks reduce the chance of unfairness in the decision making process. Some essential operations with their properties and relevant laws related to the notion of FP-CNSES are defined and verified. The notation of mapping on fuzzy parameterized complex neutrosophic soft expert classes is defined and some properties of fuzzy parameterized complex neutrosophic soft expert images and inverse images was investigated. FP-CNSES is used to put forth an algorithm on decision-making by converting it from complex state to real state and subsequently provided the detailed decision steps. Then, we provide the comparison of FP-CNSES to the current methods to show the ascendancy of our proposed method.",
keywords = "Complex neutrosophic set, Complex neutrosophic soft expert set, Fuzzy parameterized single valued neutrosophic soft expert set, Single valued neutrosophic set, Soft expert set",
author = "Ashraf Al-Quran and Nasruddin Hassan and Shawkat Alkhazaleh",
year = "2019",
month = "1",
day = "1",
doi = "10.3390/sym11030382",
language = "English",
volume = "11",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "3",

}

TY - JOUR

T1 - Fuzzy parameterized complex neutrosophic soft expert set for decision under uncertainty

AU - Al-Quran, Ashraf

AU - Hassan, Nasruddin

AU - Alkhazaleh, Shawkat

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight. These new mathematical frameworks reduce the chance of unfairness in the decision making process. Some essential operations with their properties and relevant laws related to the notion of FP-CNSES are defined and verified. The notation of mapping on fuzzy parameterized complex neutrosophic soft expert classes is defined and some properties of fuzzy parameterized complex neutrosophic soft expert images and inverse images was investigated. FP-CNSES is used to put forth an algorithm on decision-making by converting it from complex state to real state and subsequently provided the detailed decision steps. Then, we provide the comparison of FP-CNSES to the current methods to show the ascendancy of our proposed method.

AB - In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight. These new mathematical frameworks reduce the chance of unfairness in the decision making process. Some essential operations with their properties and relevant laws related to the notion of FP-CNSES are defined and verified. The notation of mapping on fuzzy parameterized complex neutrosophic soft expert classes is defined and some properties of fuzzy parameterized complex neutrosophic soft expert images and inverse images was investigated. FP-CNSES is used to put forth an algorithm on decision-making by converting it from complex state to real state and subsequently provided the detailed decision steps. Then, we provide the comparison of FP-CNSES to the current methods to show the ascendancy of our proposed method.

KW - Complex neutrosophic set

KW - Complex neutrosophic soft expert set

KW - Fuzzy parameterized single valued neutrosophic soft expert set

KW - Single valued neutrosophic set

KW - Soft expert set

UR - http://www.scopus.com/inward/record.url?scp=85064134592&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85064134592&partnerID=8YFLogxK

U2 - 10.3390/sym11030382

DO - 10.3390/sym11030382

M3 - Article

AN - SCOPUS:85064134592

VL - 11

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 3

M1 - 382

ER -