Skip to main content
Top
Published in: Soft Computing 21/2020

16-09-2020 | Foundations

Decision making based on linguistic interval-valued intuitionistic neutrosophic Dombi fuzzy hybrid weighted geometric operator

Authors: Aliya Fahmi, Fazli Amin, Sidra Niaz

Published in: Soft Computing | Issue 21/2020

Log in

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

search-config
loading …

Abstract

In this paper, we proposed the notion of a linguistic interval-valued intuitionistic neutrosophic fuzzy number. We define some score and accuracy functions of LIVINFNs are defined with a brief study of related properties. Moreover, we propose the geometric forms of LIVINDFWG, LIVINDFOWG, and LIVINDFHWG operator, which is called the geometric operators. Then, we present its characteristics and some special cases. Moreover, we put forward two new MADM approaches founded on the developed LIVINDFWG and LIVINDFOWG operators. Finally, a representative example is provided to verify the effectiveness and superiority of the proposed method by comparing it with other several existing representative MAGDM methods.

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!

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!

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!

Literature
go back to reference Atanassov KT (1999) Intuitionistic fuzzy sets. Intuitionistic fuzzy sets. Physica, Heidelberg, pp 1–137MATHCrossRef Atanassov KT (1999) Intuitionistic fuzzy sets. Intuitionistic fuzzy sets. Physica, Heidelberg, pp 1–137MATHCrossRef
go back to reference Bordogna G, Fedrizzi M, Pasi G (1997) A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans Syst Man Cybern Part A Syst Hum 27(1):126–133CrossRef Bordogna G, Fedrizzi M, Pasi G (1997) A linguistic modeling of consensus in group decision making based on OWA operators. IEEE Trans Syst Man Cybern Part A Syst Hum 27(1):126–133CrossRef
go back to reference Chen SM, Tan JM (1994) Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 67(2):163–172MathSciNetMATHCrossRef Chen SM, Tan JM (1994) Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 67(2):163–172MathSciNetMATHCrossRef
go back to reference Deng W, Li W, Yang XH (2011) A novel hybrid optimization algorithm of computational intelligence techniques for highway passenger volume prediction. Expert Syst Appl 38(4):4198–4205CrossRef Deng W, Li W, Yang XH (2011) A novel hybrid optimization algorithm of computational intelligence techniques for highway passenger volume prediction. Expert Syst Appl 38(4):4198–4205CrossRef
go back to reference Deng W, Xu J, Zhao H (2019) An improved ant colony optimization algorithm based on hybrid strategies for scheduling problem. IEEE Access 7:20281–20292CrossRef Deng W, Xu J, Zhao H (2019) An improved ant colony optimization algorithm based on hybrid strategies for scheduling problem. IEEE Access 7:20281–20292CrossRef
go back to reference Deschrijver G, Kerre EE (2007) On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision. Inf Sci 177(8):1860–1866MathSciNetMATHCrossRef Deschrijver G, Kerre EE (2007) On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision. Inf Sci 177(8):1860–1866MathSciNetMATHCrossRef
go back to reference Dombi J (1982) A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8(2):149–163MathSciNetMATHCrossRef Dombi J (1982) A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8(2):149–163MathSciNetMATHCrossRef
go back to reference Garg H, Kumar K (2019a) A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications. Neural Comput Appl 32:3337–3348CrossRef Garg H, Kumar K (2019a) A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications. Neural Comput Appl 32:3337–3348CrossRef
go back to reference Garg H, Kumar K (2019b) Linguistic interval-valued atanassov intuitionistic fuzzy sets and their applications to group decision making problems. IEEE Trans Fuzzy Syst 27(12):2302–2311CrossRef Garg H, Kumar K (2019b) Linguistic interval-valued atanassov intuitionistic fuzzy sets and their applications to group decision making problems. IEEE Trans Fuzzy Syst 27(12):2302–2311CrossRef
go back to reference Garg H, Singh S (2018) A novel triangular interval type-2 intuitionistic fuzzy sets and their aggregation operators. Iran J Fuzzy Syst 15(6):69–93MathSciNetMATH Garg H, Singh S (2018) A novel triangular interval type-2 intuitionistic fuzzy sets and their aggregation operators. Iran J Fuzzy Syst 15(6):69–93MathSciNetMATH
go back to reference Haibin WANG, Smarandache F, Zhang Y, Sunderraman R (2010) Single valued neutro-sophic sets. Infinite Study Haibin WANG, Smarandache F, Zhang Y, Sunderraman R (2010) Single valued neutro-sophic sets. Infinite Study
go back to reference Hong DH, Choi CH (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114(1):103–113MATHCrossRef Hong DH, Choi CH (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114(1):103–113MATHCrossRef
go back to reference Jaisankar N, Ganapathy S, Yogesh P, Kannan A, Anand K (2012) An intelligent agent based intrusion detection system using fuzzy rough set based outlier detection. Soft computing techniques in vision science. Springer, Berlin, pp 147–153CrossRef Jaisankar N, Ganapathy S, Yogesh P, Kannan A, Anand K (2012) An intelligent agent based intrusion detection system using fuzzy rough set based outlier detection. Soft computing techniques in vision science. Springer, Berlin, pp 147–153CrossRef
go back to reference Kanimozhi U, Ganapathy S, Manjula D, Kannan A (2019) An intelligent risk prediction system for breast cancer using fuzzy temporal rules. Natl Acad Sci Lett 42(3):227–232CrossRef Kanimozhi U, Ganapathy S, Manjula D, Kannan A (2019) An intelligent risk prediction system for breast cancer using fuzzy temporal rules. Natl Acad Sci Lett 42(3):227–232CrossRef
go back to reference Liao X, Li Y, Lu B (2007) A model for selecting an ERP system based on linguistic information processing. Inf Syst 32(7):1005–1017CrossRef Liao X, Li Y, Lu B (2007) A model for selecting an ERP system based on linguistic information processing. Inf Syst 32(7):1005–1017CrossRef
go back to reference Liu P, Liu J, Chen SM (2018) Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc 69(1):1–24CrossRef Liu P, Liu J, Chen SM (2018) Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc 69(1):1–24CrossRef
go back to reference Logambigai R, Ganapathy S, Kannan A (2018) Energy–efficient grid–based routing algorithm using intelligent fuzzy rules for wireless sensor networks. Comput Electr Eng 68:62–75CrossRef Logambigai R, Ganapathy S, Kannan A (2018) Energy–efficient grid–based routing algorithm using intelligent fuzzy rules for wireless sensor networks. Comput Electr Eng 68:62–75CrossRef
go back to reference Pei Z, Shi P (2011) Fuzzy risk analysis based on linguistic aggregation operators. Int J Innov Comput Inf Control 7(12):7105–7118 Pei Z, Shi P (2011) Fuzzy risk analysis based on linguistic aggregation operators. Int J Innov Comput Inf Control 7(12):7105–7118
go back to reference Perumal SP, Sannasi G, Arputharaj K (2019) An intelligent fuzzy rule-based e-learning recommendation system for dynamic user interests. J Supercomput 75(8):5145–5160CrossRef Perumal SP, Sannasi G, Arputharaj K (2019) An intelligent fuzzy rule-based e-learning recommendation system for dynamic user interests. J Supercomput 75(8):5145–5160CrossRef
go back to reference Rajeswari AR, Kulothungan K, Ganapathy S, Kannan A (2019) A trusted fuzzy based stable and secure routing algorithm for effective communication in mobile ad hoc networks. Peer-to-Peer Netw Appl 12(5):1076–1096CrossRef Rajeswari AR, Kulothungan K, Ganapathy S, Kannan A (2019) A trusted fuzzy based stable and secure routing algorithm for effective communication in mobile ad hoc networks. Peer-to-Peer Netw Appl 12(5):1076–1096CrossRef
go back to reference Rodriguez RM, Martinez L, Herrera F (2011) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109–119CrossRef Rodriguez RM, Martinez L, Herrera F (2011) Hesitant fuzzy linguistic term sets for decision making. IEEE Trans Fuzzy Syst 20(1):109–119CrossRef
go back to reference Sethukkarasi R, Ganapathy S, Yogesh P, Kannan A (2014) An intelligent neuro fuzzy temporal knowledge representation model for mining temporal patterns. J Intell Fuzzy Syst 26(3):1167–1178MATHCrossRef Sethukkarasi R, Ganapathy S, Yogesh P, Kannan A (2014) An intelligent neuro fuzzy temporal knowledge representation model for mining temporal patterns. J Intell Fuzzy Syst 26(3):1167–1178MATHCrossRef
go back to reference Thangaramya K, Kulothungan K, Logambigai R, Selvi M, Ganapathy S, Kannan A (2019) Energy aware cluster and neuro-fuzzy based routing algorithm for wireless sensor networks in IoT. Comput Netw 151:211–223CrossRef Thangaramya K, Kulothungan K, Logambigai R, Selvi M, Ganapathy S, Kannan A (2019) Energy aware cluster and neuro-fuzzy based routing algorithm for wireless sensor networks in IoT. Comput Netw 151:211–223CrossRef
go back to reference Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166(1–4):19–30MathSciNetMATHCrossRef Xu Z (2004) A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Inf Sci 166(1–4):19–30MathSciNetMATHCrossRef
go back to reference Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187CrossRef Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187CrossRef
go back to reference Zhao HM, Li DY, Deng W, Yang XH (2017) Research on vibration suppression method of alternating current motor based on fractional order control strategy. Proc Inst Mech Eng Part E J Process Mech Eng 231(4):786–799CrossRef Zhao HM, Li DY, Deng W, Yang XH (2017) Research on vibration suppression method of alternating current motor based on fractional order control strategy. Proc Inst Mech Eng Part E J Process Mech Eng 231(4):786–799CrossRef
go back to reference Zhao H, Zheng J, Deng W, Song Y (2020) Semi-supervised broad learning system based on manifold regularization and broad network. IEEE Trans Circuits Syst I Regul Pap 67(3):983–994MathSciNetCrossRef Zhao H, Zheng J, Deng W, Song Y (2020) Semi-supervised broad learning system based on manifold regularization and broad network. IEEE Trans Circuits Syst I Regul Pap 67(3):983–994MathSciNetCrossRef
Metadata
Title
Decision making based on linguistic interval-valued intuitionistic neutrosophic Dombi fuzzy hybrid weighted geometric operator
Authors
Aliya Fahmi
Fazli Amin
Sidra Niaz
Publication date
16-09-2020
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 21/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05282-z

Other articles of this Issue 21/2020

Soft Computing 21/2020 Go to the issue

Premium Partner