Complex multi-fuzzy soft expert set and its application

Yousef Al-Qudah, Nasruddin Hassan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.

Original languageEnglish
Pages (from-to)149-176
Number of pages28
JournalInternational Journal of Mathematics and Computer Science
Volume14
Issue number1
Publication statusPublished - 1 Jan 2019

Fingerprint

Decision making
Membership functions
Parameterization
Complex number
Structural properties
Decision Making
Soft Set
Uncertainty
Term
Membership Function
Structural Properties
Range of data
Union
Complement
Intersection
Concepts

Keywords

  • Complex multi-fuzzy set
  • Decision making
  • Fuzzy soft expert set
  • Multi-fuzzy set

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Algebra and Number Theory
  • Statistics and Probability
  • Numerical Analysis
  • Modelling and Simulation
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics
  • Applied Mathematics

Cite this

Complex multi-fuzzy soft expert set and its application. / Al-Qudah, Yousef; Hassan, Nasruddin.

In: International Journal of Mathematics and Computer Science, Vol. 14, No. 1, 01.01.2019, p. 149-176.

Research output: Contribution to journalArticle

@article{baf19c4d9f314846a4ebb18f7b56d4d8,
title = "Complex multi-fuzzy soft expert set and its application",
abstract = "We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.",
keywords = "Complex multi-fuzzy set, Decision making, Fuzzy soft expert set, Multi-fuzzy set",
author = "Yousef Al-Qudah and Nasruddin Hassan",
year = "2019",
month = "1",
day = "1",
language = "English",
volume = "14",
pages = "149--176",
journal = "International Journal of Mathematics and Computer Science",
issn = "1814-0424",
publisher = "Badih Ghusayni",
number = "1",

}

TY - JOUR

T1 - Complex multi-fuzzy soft expert set and its application

AU - Al-Qudah, Yousef

AU - Hassan, Nasruddin

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.

AB - We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are rep- resented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously. It also has a mechanism to incorporate the adequate parameterization capabilities and the opinions of all ex- perts regarding the validity of the information at hand in one mode, thus making it quite appropriate for use in decision-making problems, whereas the time factor plays a key role in determining the final deci- sion. Some operations related to this new concept have been defined, such as complement, union and intersection, AND and OR operations. We also investigate structural properties of these operations based on this concept. An algorithm is developed in complex multi-fuzzy expert soft set setting for a decision making method. Finally an illustrative example is employed to show that it can be successfully applied to problems that contain uncertainties. In addition, a comparison be- tween CMFSES and other existing methods is made to reveal the dominance of our proposed method.

KW - Complex multi-fuzzy set

KW - Decision making

KW - Fuzzy soft expert set

KW - Multi-fuzzy set

UR - http://www.scopus.com/inward/record.url?scp=85059624613&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85059624613&partnerID=8YFLogxK

M3 - Article

VL - 14

SP - 149

EP - 176

JO - International Journal of Mathematics and Computer Science

JF - International Journal of Mathematics and Computer Science

SN - 1814-0424

IS - 1

ER -