nach oben

Granular Computing

Erschienen in:

10.04.2018 | Original Paper

Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making

verfasst von: Harish Garg, Kamal Kumar

Erschienen in: Granular Computing | Ausgabe 2/2019

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In the present paper, we define an improved possibility degree method to rank the different intuitionistic fuzzy numbers (IFNs). To achieve it, we first present some shortcomings of the existing possibility degree method and score function of IFNs. The existing shortcomings are overcome by proposing a new possibility degree measure for IFNs. The desirable properties of it are analyzed in details. Afterward, based on proposed possibility degree measure, a decision-making approach presents to solve the multiattribute decision-making (MADM) problem under the intuitionistic fuzzy set environment. Finally, a real-life case is studied to manifest the practicability and feasibility of the proposed decision-making method.

Vorheriger Artikel Optimization of type-1, interval type-2 and general type-2 fuzzy inference systems using a hierarchical genetic algorithm for modular granular neural networks

Nächster Artikel Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making

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

Arora R, Garg H (2018) Prioritized averaging/geometric aggregation operators under the intuitionistic fuzzy soft set environment. Scientia Iranica 25(1):466–482. https://doi.org/10.24200/SCI.2017.4410

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

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

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, Randyanto Y (2013) A novel similarity measure between intuitionistic fuzzy sets and its applications. Int J Pattern Recognit Artif Intell 27(7):1350021(34pages)

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

Chen SM, Cheng SH, Lan TC (2016b) A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition. Inf Sci 343–344:15–40MathSciNetCrossRefMATH

Dammak F, Baccour L, Alimi AM (2016) An exhaustive study of possibility measures of interval-valued intuitionistic fuzzy sets and application to multicriteria decision making. Adv Fuzzy Syst 2016:10 (Article ID 9185,706)

Gao F (2013) Possibility degree and comprehensive priority of interval numbers. Syst Eng Theory Pract 33(8):2033–2040

Garg H (2016a) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef

Garg H (2016b) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999. https://doi.org/10.1016/j.asoc.2015.10.040 CrossRef

Garg H (2016c) Some series of intuitionistic fuzzy interactive averaging aggregation operators. SpringerPlus 5(1):999. https://doi.org/10.1186/s40064-016-2591-9

Garg H (2017a) Distance and similarity measure for intuitionistic multiplicative preference relation and its application. Int J Uncertain Quantif 7(2):117–133CrossRef

Garg H (2017b) Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application. Eng Appl Artif Intell 60:164–174CrossRef

Garg H (2018) Some arithmetic operations on the generalized sigmoidal fuzzy numbers and its application. Granul Comput 3(1):9–25. https://doi.org/10.1007/s41066-017-0052-7 CrossRef

Garg H, Agarwal N, Tripathi A (2017) Generalized intuitionistic fuzzy entropy measure of order \(\alpha\) and degree \(\beta\) and its applications to multi-criteria decision making problem. Int J Fuzzy Syst Appl 6(1):86–107CrossRef

He Y, Chen H, Zhau L, Liu J, Tao Z (2014) Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making. Inf Sci 259:142–159MathSciNetCrossRefMATH

Jamkhaneh EB, Garg H (2017) Some new operations over the generalized intuitionistic fuzzy sets and their application to decision-making process. Granul Comput. https://doi.org/10.1007/s41066-017-0059-0

Joshi D, Kumar S (2014) Intuitionistic fuzzy entropy and distance measure based topsis method for multi-criteria decision making. Egypt Inform J 15(2):97–104CrossRef

Kaur G, Garg H (2018a) Cubic intuitionistic fuzzy aggregation operators. Int J Uncertain Quantif. https://doi.org/10.1615/Int.J.UncertaintyQuantification.2018020471

Kaur G, Garg H (2018b) Multi attribute decision-making based on bonferroni mean operators under cubic intuitionistic fuzzy set environment. Entropy 20(1):65. https://doi.org/10.3390/e20010065 MathSciNetCrossRef

Kumar K, Garg H (2016) TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Comput Appl Math. https://doi.org/10.1007/s40314-016-0402-0

Kumar K, Garg H (2017) Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making. Appl Intell. https://doi.org/10.1007/s10489-017-1067-0

Pedrycz W, Chen SM (2011) Granular computing and intelligent systems: design with information granules of higher order and higher type. Springer, HeidelbergCrossRef

Pedrycz W, Chen SM (2015) Granular computing and decision-making: interactive and iterative approaches. Springer, Heidelberg, GermanyCrossRef

Rani D, Garg H (2017) Distance measures between the complex intuitionistic fuzzy sets and its applications to the decision-making process. Int J Uncertain Quantif 7(5):423–439MathSciNetCrossRef

Singh S, Garg H (2017) Distance measures between type-2 intuitionistic fuzzy sets and their application to multicriteria decision-making process. Appl Intell 46(4):788–799CrossRef

Wan S, Dong J (2014) A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making. J Comput Syst Sci 80(1):237–256MathSciNetCrossRefMATH

Wan SP, Xu GL, Wang F, Dong JY (2015) A new method for atanassov’s interval-valued intuitionistic fuzzy magdm with incomplete attribute weight information. Inf Sci 316:329–347CrossRefMATH

Wang W, Liu X (2012) Intuitionistic fuzzy information aggregation using einstein operations. IEEE Trans Fuzzy Syst 20(5):923–938CrossRef

Wang W, Liu X (2013) Interval-valued intuitionistic fuzzy hybrid weighted averaging operator based on einstein operation and its application to decision making. J Intell Fuzzy Syst 25(2):279–290MathSciNetMATH

Wang X, Triantaphyllou E (2008) Ranking irregularities when evaluating alternatives by using some electre methods. Omega Int J Manag Sci 36:45–63CrossRef

Wei CP, Tang X (2010) Possibility degree method for ranking intuitionistic fuzzy numbers. In: 3rd IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT ’10), pp 142–145

Wei G (2010) Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making. Appl Soft Comput 10:423–431CrossRef

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

Xu ZS (2007b) Some similarity meeasures of intuitionistic fuzzy sets and their applications to multiple attribute decision making. Fuzzy Optim Decis Mak 6:109–121MathSciNetCrossRefMATH

Xu ZS, Da QL (2003) Possibility degree method for ranking interval numbers and its application. J Syst Eng 18:67–70

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

Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353CrossRefMATH

Zhang X, Yue G, Teng Z (2009) Possibility degree of interval-valued intuitionistic fuzzy numbers and its application. In: Proceedings of the international symposium on information processing, pp 33–36

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

Titel: Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making
verfasst von: Harish Garg
Kamal Kumar
Publikationsdatum: 10.04.2018
Verlag: Springer International Publishing
Erschienen in: Granular Computing / Ausgabe 2/2019
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-018-0092-7

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 2/2019

Pythagorean fuzzy prioritized aggregation operators and their application to multi-attribute group decision making

Optimization of granulation for fuzzy controllers of autonomous mobile robots using the Firefly Algorithm

Type-2 fuzzy reliability–redundancy allocation problem and its solution using particle-swarm optimization algorithm

Optimization of type-1, interval type-2 and general type-2 fuzzy inference systems using a hierarchical genetic algorithm for modular granular neural networks

Computing with words for student strategy evaluation in an examination

Special issue on “Type-2 fuzzy systems and granular computing”

Premium Partner