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Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets
International Journal of Fuzzy System Applications, 2012In this paper, some different types of interval cut-set of genaralized interval-valued intuitionistic fuzzy sets (GIVIFSs), complement of these cut-sets are introduced. Some properties of those cut-set of GIVIFSs are investigated. Also three decomposition theorems of GIVIFSs are obtained based on the different cut-set of GIVIFSs.
Amal Kumar Adak +2 more
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Some information measures for interval-valued intuitionistic fuzzy sets
Information Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiansheng Zhang +3 more
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Application Interval-Valued Intuitionistic Fuzzy Set to Select Supplier
2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008The aim of this paper is to investigate the multiple attribute decision making problems to deal with the supplier selection in supply chain management with interval-valued intuitionistic fuzzy information, in which the information about attribute weights is completely known, and the attribute values take the form of interval-valued intuitionistic fuzzy
Zhuo Xiao, Guiwu Wei 0001
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On Interval Valued Intuitionistic Fuzzy Sets
2019In this chapter, the basic definitions of the concepts of Interval Valued Fuzzy Sets (IVFSs) and Interval Valued Intuitionistic Fuzzy Sets (IVIFSs) will be introduced. The relation between IFSs and IVFSs will be discussed.
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Hesitant interval-valued intuitionistic fuzzy linguistic sets and their applications
Journal of Intelligent & Fuzzy Systems, 2016Hesitant interval-valued intuitionistic fuzzy linguistic set has been developed by extending hesitant fuzzy set, interval-valued intuitionistic fuzzy values and linguistic terms. Some operational laws and distance measures for hesitant interval-valued intuitionistic fuzzy linguistic elements are defined.
Wei Yang 0012 +3 more
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New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huimin Zhang, Liying Yu
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Entropy and Subsethood for General Interval-Valued Intuitionistic Fuzzy Sets
2005In this paper, we mainly extend entropy and subsethood from intuitionistic fuzzy sets to general interval-valued intuitionistic fuzzy sets, propose a definition of entropy and subsethood , offer a function of entropy and construct a class of subsethood function.
Xiaodong Liu, Suhua Zheng, Fenglan Xiong
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2017
In the paper we show our perspective on some differences between Atanassov’s intuitionistic fuzzy sets (A-IFSs, for short) and Interval-valued fuzzy sets (IVFSs, for short). First, we present some standard operators and extensions for the A-IFSs which have no counterparts for IVFSs.
Eulalia Szmidt, Janusz Kacprzyk
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In the paper we show our perspective on some differences between Atanassov’s intuitionistic fuzzy sets (A-IFSs, for short) and Interval-valued fuzzy sets (IVFSs, for short). First, we present some standard operators and extensions for the A-IFSs which have no counterparts for IVFSs.
Eulalia Szmidt, Janusz Kacprzyk
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Two operators on interval-valued intuitionistic fuzzy sets. I
1994The Interval-Valued Intuitionistic Fuzzy Sets (IVIFSs) [the reviewer and \textit{G. Gargov}, Fuzzy Sets Syst. 31, No. 3, 343--349 (1989; Zbl 0674.03017)] are extensions of the Intuitionistic Fuzzy Sets (IFSs) [the reviewer, ibid. 20, 87--96 (1986; Zbl 0631.03040)] and Interval-Valued Fuzzy Sets (IVFSs). Let \(X \neq \emptyset\) be a given universe.
Burillo, P., Bustince, H.
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Interval-Valued Intuitionistic Fuzzy Soft Rough Sets
2015In this chapter, the concept of interval-valued intuitionistic fuzzy soft rough sets is introduced. Also interval-valued intuitionistic fuzzy soft rough set-based multi-criteria group decision-making scheme is presented, which refines the primary evaluation of the whole expert group and enables us to select the optimal object in a most reliable manner.
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