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On inclusion measures of intuitionistic and interval-valued intuitionistic fuzzy values and their applications to group decision making

  • Xi'an Jiaotong University

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Ranking intuitionistic fuzzy values (IFVs) and interval-valued intuitionistic fuzzy values (IVIFVs) is an important and necessary work in intuitionistic fuzzy group decision making. Since the set of all IFVs is a poset and inclusion measure indicates the degree to which a given element of a poset is contained in another one. This paper studies hybrid monotonic (HM) inclusion measures of IFVs and IVIFVs respectively and discuss their applications to group decision making. Firstly, HM inclusion measure is defined on the posets of all IFVs and IVIFVs respectively. Then HM inclusion measures are studied by constructive approach. Furthermore, the HM inclusion measures are employed to make intuitionistic and interval-valued intuitionistic fuzzy group decisions. Lastly, practical examples are provided to illustrate the developed approaches respectively.

Original languageEnglish
Pages (from-to)833-843
Number of pages11
JournalInternational Journal of Machine Learning and Cybernetics
Volume7
Issue number5
DOIs
StatePublished - 1 Oct 2016

Keywords

  • Group decision making
  • HM inclusion measure
  • Interval-valued intuitionistic fuzzy value
  • Intuitionistic fuzzy value

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