nach oben

Granular Computing

Erschienen in:

13.08.2019 | Original Paper

Aggregation operators on cubic linguistic hesitant fuzzy numbers and their application in group decision-making

verfasst von: Aliya Fahmi, Saleem Abdullah, Fazli Amin

Erschienen in: Granular Computing | Ausgabe 2/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, we define linguistic hesitant fuzzy sets. We introduce cubic linguistic fuzzy sets and their operational laws. We propose a cubic linguistic hesitant fuzzy sets and their operational laws. We describe aggregation operators for cubic linguistic hesitant fuzzy sets which extended the generalized cubic linguistic hesitant fuzzy averaging (geometric) operator, generalized cubic linguistic hesitant fuzzy weighted averaging (GLCHFWA) operator, generalized cubic linguistic hesitant fuzzy weighted geometric (GCHFWG) operator, generalized cubic linguistic hesitant fuzzy ordered weighted average (GCLHFOWA) operator, generalized cubic linguistic hesitant fuzzy ordered weighted geometric (GCLHFOWG) operator, generalized cubic linguistic hesitant fuzzy hybrid averaging (GCLHFHA) operator and generalized cubic linguistic hesitant fuzzy hybrid geometric (GCLHFHG) operator. Moreover, we relate these aggregation operators to develop an approach to multiple-attribute group decision-making with cubic linguistic-hesitant fuzzy information. Finally, the overall ranking of an alternative is obtained. This example is presented to illustrate the feasibility and effectiveness of the proposed approach.

Vorheriger Artikel A new approach of cubic interval-valued intuitionistic fuzzy subsemigroup and ideals

Nächster Artikel Multi-criteria decision making under uncertainty via the operations of generalized intuitionistic fuzzy numbers

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96CrossRef

Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343–349MathSciNetCrossRef

Chen SM (1998) Aggregating fuzzy opinions in the group decision-making environment. Cybern Syst 29(4):363–376CrossRef

Chen SM, Chang YC (2011) Weighted fuzzy rule interpolation based on GA-based weight-learning techniques. IEEE Trans Fuzzy Syst 19(4):729–744CrossRef

Chen SM, Chang CH (2015) A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf Sci 291:96–114CrossRef

Chen SM, Tanuwijaya K (2011) Fuzzy forecasting based on high-order fuzzy logical relationships and automatic clustering techniques. Expert Syst Appl 38(12):15425–15437CrossRef

Chen SM, Lee SH, Lee CH (2001) A new method for generating fuzzy rules from numerical data for handling classification problems. Appl Artif Intell 15(7):645–664CrossRef

Chen SM, Munif A, Chen GS, Liu HC, Kuo BC (2012) Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights. Expert Syst Appl 39(7):6320–6334CrossRef

Chen N, Xu ZS, Xia MM (2013) Interval-valued hesitant preference relations and their applications to group decision making. Knowl Based Syst 37:528–540CrossRef

Chen SM, Cheng SH, Chiou CH (2016) Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodology. Inf Fusion 27:215–227CrossRef

Chiclana F, Herrera F, Viedma HE (2002) The ordered weighted geometric operator: properties and application in MCDM problems. Stud Fuzziness Soft Comput 2:173–183CrossRef

Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications, Mathematics in science and engineering, vol 144. Academic, New YorkMATH

Dyckhoff H, Pedrycz W (1984) Generalized means as model of compensative connectives. Fuzzy Sets Syst 14(2):143–154MathSciNetCrossRef

Jun YB, Kim CS, Yang KO (2012) Cubic sets. Ann Fuzzy Math Inform 4(1):83–98MathSciNetMATH

Lindahl M, Ramon JM, Montserrat C (2010) The generalized hybrid averaging operator and its application in decision making. J Quant Methods Econ 9:69–84

Liu P, Chen SM, Liu J (2017) Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators. Inf Sci 411:98–121MathSciNetCrossRef

Peng JJ, Wang JQ, Wu XH, Zhang HY, Chen XH (2015) The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making. Int J Syst Sci 46(13):2335–2350MathSciNetCrossRef

Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH

Wang HY, Chen SM (2008) Evaluating students’ answerscripts using fuzzy numbers associated with degrees of confidence. IEEE Trans Fuzzy Syst 16(2):403–415CrossRef

Xia M, Xu Z (2011) Hesitant fuzzy information aggregation in decision making. Int J Approx Reason 52(3):395–407MathSciNetCrossRef

Xia MM, Xu ZS (2013) managing hesitant information in GDM problems under fuzzy and multiplicative preference relations. Int J Uncertain Fuzziness Knowl Based Syst 21:865–897MathSciNetCrossRef

Xia MM, Xu ZS, Chen N (2013) Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decis Negot 22:259–279CrossRef

Xu ZS (2007) intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187CrossRef

Xu ZS, Chen J (2007) An approach to group decision making based on interval valued intuitionistic fuzzy judgment matrices. Syst Eng Theory Pract 27:133–162

Xu ZS, Da QL (2003) An overview of operators for aggregating information. Int J Intell Syst 18:953–969CrossRef

Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433MathSciNetCrossRef

Yager RR (1988) on ordered weighted averaging aggregation operators in multi criteria decision making. IEEE Trans Syst Man Cybern 18:183–190CrossRef

Yager RR (2004) on generalized OWA aggregation operators. Fuzzy Optim Decis Mak 3:93–107MathSciNetCrossRef

Zadeh LA (1965) Fuzzy sets. Inf Comput 8:338–353MATH

Zhang Z (2013) Interval valued intuitionistic hesitant fuzzy aggregation operators and their application in group decision making. J Appl Math 2013:670285. https://doi.org/10.1155/2013/670285CrossRefMATH

Zhao H, Xu ZS, Ni M, Liu S (2010) Generalized aggregation operators for intuitionistic fuzzy sets. Int J Intell Syst 25:1–30CrossRef

Zhou H, Wang J, Li XE, Wang JQ (2016) Intuitionistic hesitant linguistic sets and their application in multi-criteria decision-making problems. Oper Res 16(1):131–160CrossRef

Titel: Aggregation operators on cubic linguistic hesitant fuzzy numbers and their application in group decision-making
verfasst von: Aliya Fahmi
Saleem Abdullah
Fazli Amin
Publikationsdatum: 13.08.2019
Verlag: Springer International Publishing
Erschienen in: Granular Computing / Ausgabe 2/2021
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-019-00188-0

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 2/2021

Three-way clustering method for incomplete information system based on set-pair analysis

Symptom-herb knowledge discovery based on attribute partial ordered structure diagrams

Group decision-making approach under multi (Q, N)-soft multi granulation rough model

Failure prioritization and control using the neutrosophic best and worst method

Gradual interval arithmetic and fuzzy interval arithmetic

Three-way decision models and its optimization based on Dempster–Shafer evidence theory and rough sets