Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Granular Computing
Published in: Granular Computing 6/2023

22-05-2023 | Original Paper

Multi-criteria decision making based on vector similarity measures of picture type-2 hesitant fuzzy sets

Author: Şerif Özlü

Published in: Granular Computing | Issue 6/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we propose a picture type-2 hesitant fuzzy sets (PT2HFSs) and discuss various properties of this new concept like intersection and union. Then, we define a vector similar measures including dice, Jaccard, cosine and weighted dice, weighted Jaccard and weighted cosine similarity measures and prove to some axiomatic properties. Moreover, a new algorithm is proposed to indicate effective of the similarity measures by utilizing definitions of intersection and union over decision making matrix. In addition, a numerical example is put forward to show agreement of proposed similarity measures. In the next step, we apply consistency analysis over defined vector similarity measures to see which measurement is more convenience and also two comparative analyses have been defined by utilizing a conversion of fuzzy elements to type-2 fuzzy elements and interval-valued intuitionistic fuzzy sets into end section.
previous article An efficient spherical fuzzy MEREC–CoCoSo approach based on novel score function and aggregation operators for group decision making
next article Improved risk assessment model based on rough integrated clouds and ELECTRE-II method: an application to intelligent manufacturing process

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Appendix
Available only for authorised users
Literature
Akram M, Martino A (2022) Multi-attribute group decision making based on T-spherical fuzzy soft rough average aggregation operators. Granul Comput 8(1):1–37CrossRef
Akram M, Shahzadi G, Alcantud JCR (2022a) Multi-attribute decision-making with q-rung picture fuzzy information. Granul Comput 7(1):197–215CrossRef
Akram M, Khan A, Ahmad U (2022b) Extended MULTIMOORA method based on 2-tuple linguistic Pythagorean fuzzy sets for multi-attribute group decision-making. Granul Comput 8(2):1–22
Chen SM, Chiou CH (2014) Multiattribute decision making based on interval-valued intuitionistic fuzzy sets, PSO techniques, and evidential reasoning methodology. IEEE Trans Fuzzy Syst 23(6):1905–1916CrossRef
Cuong BC, Kreinovich V (2014) Picture fuzzy sets. J Comput Sci Cybern 30(4):409–420
Deveci M, Özcan E, John R, Öner SC (2018) Interval type-2 hesitant fuzzy set method for improving the service quality of domestic airlines in Turkey. J Air Transp Manag 69(3):83–98CrossRef
Dice LR (1945) Measures of the amount of ecologic association between species. Ecology 26(3):297–302CrossRef
Feng L, Chuan-qiang F, Wei-he X (2018) Type-2 hesitant fuzzy sets. Fuzzy Inf Eng 10(2):249–259CrossRef
Feng F, Zheng Y, Sun B, Akram M (2022b) Novel score functions of generalized orthopair fuzzy membership grades with application to multiple attribute decision making. Granul Comput 7(1):95–111CrossRef
Jaccard P (1901) Distribution de la flore alpine dans le bassin des Dranses et dans quelques règions voisines. Bull Soc Vaudoise Sci Nat 37(1):241–272
Jan N, Ali Z, Ullah K, Mahmood T (2019) Some generalized distance and similarity measures for picture hesitant fuzzy sets and their applications in building material recognition and multi-attribute decision making. Punjab Univ J Math 51(7):51–70MathSciNet
Jun Y (2012) Multi criteria group decision-making method using vector similarity measures for trapezoidal intuitionistic fuzzy numbers. Group Decis Negot 21(4):519–530CrossRef
Jun Y (2014) Vector similarity measures of hesitant fuzzy sets and their multiple attribute decision making. Econ Comput Econ Cybern Stud Res 48(4):215–226
Jun Y (2016) The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments. J Intell Fuzzy Syst 31(1):663–671CrossRefMATH
Karaaslan F (2018) Multi criteria decision-making method based on similarity measures under single-valued neutrosophic refined and interval neutrosophic refined environments. Int J Intell Syst 33(5):928–952MathSciNetCrossRef
Karaaslan F, Özlü Ş (2020) Correlation coefficients of dual type-2 hesitant fuzzy sets and their applications in clustering analysis. Int J Intell Syst 35(7):1200–1229CrossRefMATH
Mondal K, Pramanik S (2015) Decision making based on some similarity measures under interval rough neutrosophic environment. Neutrosophic Sets Syst 10(1):46–57
Özlü Ş, Karaaslan F (2020) Some distance measures for type 2 hesitant fuzzy sets and their applications to multi-criteria group decision-making problems. Soft Comput 24(13):9965–9980CrossRefMATH
Salton G, Mc Gill MJ (1983) Introduction to modern information retrieval. McGraw-HillMATH
Son L (2015) A novel distributed picture fuzzy clustering method on picture fuzzy sets. Expert Syst Appl 2(1):51–66CrossRef
Sun G, Guan X, Yi X, Zhou Z (2018) Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition. Expert Syst Appl 92(3):521–532CrossRef
Szmidt E, Kacprzyk J (2004) A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. In: International conference on artificial intelligence and soft computing. Springer, Berlin, Heidelberg, p 388–393
Thong NT (2015) HIFCF: an effective hybrid model between picture fuzzy clustering and intuitionistic fuzzy recommender systems for medical diagnosis. Expert Syst Appl 42(7):3682–3701CrossRef
Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH
Ullah K, Ali Z, Jan N, Mahmood T, Maqsood S (2018) Multi-attribute decision making based on averaging aggregation operators for picture hesitant fuzzy sets. Tech J 23(4):84–95
Wang R, Li Y (2018) Picture hesitant fuzzy set and its application to multiple criteria decision-making. Symmetry 10(7):295CrossRef
Wei G (2018) Some similarity measures for picture fuzzy sets and their applications. Iran J Fuzzy Syst 15(1):77–89MathSciNetMATH
Wei G, Gao H (2018) The generalized Dice similarity measures for picture fuzzy sets and their applications. Informatica 29(1):107–124MathSciNetCrossRefMATH
Zeng S, Chen SM, Fan KY (2020) Interval-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method. Inf Sci 506(12):424–442CrossRef
Metadata
Title
Multi-criteria decision making based on vector similarity measures of picture type-2 hesitant fuzzy sets
Author
Şerif Özlü
Publication date
22-05-2023
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 6/2023
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-023-00382-1

Other articles of this Issue 6/2023

Granular Computing 6/2023 Go to the issue

Original Paper

Improved risk assessment model based on rough integrated clouds and ELECTRE-II method: an application to intelligent manufacturing process

Original Paper

A MAGDM model based on 2-tuple linguistic variables and power Hamacher aggregation operators for optimal selection of digital marketing strategies

Correction

Correction to: Weighted hesitant fuzzy soft set and its application in group decision making

ORIGINAL PAPER

Multi-criteria group decision-making based on frank aggregation operators under Pythagorean cubic fuzzy sets

Original Paper

Group decision-making method with Pythagorean fuzzy rough number for the evaluation of best design concept

Original Paper

Multi-criteria group decision-making based on the combination of dual hesitant fuzzy sets with soft expert sets for the prediction of a local election scenario

Premium Partner

    Image Credits