Triangular cubic hesitant fuzzy einstein hybrid weighted averaging operator and its application to decision making

Aliya Fahmi, Fazli Amin, Florentin Smarandache, Madad Khan, Nasruddin Hassan

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

Original languageEnglish
Article number658
JournalSymmetry
Volume10
Issue number11
DOIs
Publication statusPublished - 20 Nov 2018

Fingerprint

Averaging Operators
decision making
Linguistics
Albert Einstein
Triangular
Agglomeration
Decision making
Decision Making
operators
Aggregation Operators
Group Decision Making
Operator
linguistics
Averaging
Attribute
Numerical Examples
Demonstrate

Keywords

  • Arithmetic averaging operator
  • Einstein t-norm
  • Multi-attribute decision making (MADM)
  • Triangular cubic hesitant fuzzy set (TCFS)

ASJC Scopus subject areas

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

Cite this

Triangular cubic hesitant fuzzy einstein hybrid weighted averaging operator and its application to decision making. / Fahmi, Aliya; Amin, Fazli; Smarandache, Florentin; Khan, Madad; Hassan, Nasruddin.

In: Symmetry, Vol. 10, No. 11, 658, 20.11.2018.

Research output: Contribution to journalArticle

Fahmi, Aliya ; Amin, Fazli ; Smarandache, Florentin ; Khan, Madad ; Hassan, Nasruddin. / Triangular cubic hesitant fuzzy einstein hybrid weighted averaging operator and its application to decision making. In: Symmetry. 2018 ; Vol. 10, No. 11.
@article{1d636bfb53374529a9dad18892002bfb,
title = "Triangular cubic hesitant fuzzy einstein hybrid weighted averaging operator and its application to decision making",
abstract = "In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.",
keywords = "Arithmetic averaging operator, Einstein t-norm, Multi-attribute decision making (MADM), Triangular cubic hesitant fuzzy set (TCFS)",
author = "Aliya Fahmi and Fazli Amin and Florentin Smarandache and Madad Khan and Nasruddin Hassan",
year = "2018",
month = "11",
day = "20",
doi = "10.3390/sym10110658",
language = "English",
volume = "10",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "11",

}

TY - JOUR

T1 - Triangular cubic hesitant fuzzy einstein hybrid weighted averaging operator and its application to decision making

AU - Fahmi, Aliya

AU - Amin, Fazli

AU - Smarandache, Florentin

AU - Khan, Madad

AU - Hassan, Nasruddin

PY - 2018/11/20

Y1 - 2018/11/20

N2 - In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

AB - In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

KW - Arithmetic averaging operator

KW - Einstein t-norm

KW - Multi-attribute decision making (MADM)

KW - Triangular cubic hesitant fuzzy set (TCFS)

UR - http://www.scopus.com/inward/record.url?scp=85057878675&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057878675&partnerID=8YFLogxK

U2 - 10.3390/sym10110658

DO - 10.3390/sym10110658

M3 - Article

VL - 10

JO - Symmetry

JF - Symmetry

SN - 2073-8994

IS - 11

M1 - 658

ER -