Results 221 to 230 of about 14,800 (254)

Complex intuitionistic fuzzy sets

AIP Conference Proceedings, 2012
This paper presents a new concept of complex intuitionistic fuzzy set (CIFS) which is generalized from the innovative concept of a complex fuzzy set (CFS) by adding the non-membership term to the definition of CFS. The novelty of CIFS lies in its ability for membership and non-membership functions to achieve more range of values.
Abdulazeez S. Alkouri, Abdul Razak Salleh   +1 more
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(s,t]-Intuitionistic Convex Fuzzy Sets

2010
Based on the concept of cut sets on the intuitionistic fuzzy sets [1] and the neighborhood relations between a fuzzy point and an intuitionistic fuzzy set [2], we define 16 kinds of (α,β)-intuitionistic convex fuzzy sets for α,β ∈ { ∈ ,q, ∈ ∧ q, ∈ ∨ q }, and the relationships between them are investigated.
Zhang Cheng, Wang Sen, Xiao Panzi, Liu Xiaozhen   +3 more
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Intuitionistic Fuzzy Sets as a Generalization of Fuzzy Sets

2014
In the mid-1980s Atanassov introduced the concept of an intuitionistic fuzzy set. Basically, his idea was that unlike the conventional fuzzy sets in which imprecision is just modeled by the membership degree from [0,1], and for which the non-membership degree is just automatically the complementation to 1 of the membership degree, in an intuitionistic ...
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Subsethood on intuitionistic fuzzy sets

Proceedings. International Conference on Machine Learning and Cybernetics, 2003
In this paper, we propose the definition of subsethood on intuitionistic fuzzy sets, construct a class of subset function and discuss the relationship of entropy, similarity and subsethood.
Feng-Lan Xiong, Yu-Hai Liu
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Convergence of intuitionistic fuzzy sets

Chaos, Solitons & Fractals, 2015
Abstract We define pointwise convergence, uniform convergence, Γ-convergence and convergence in supremum metric for the intuitionistic fuzzy sets. The uniform convergence is in the topology induced by lower and upper pseudo metrics. The Γ-convergence is the Kuratowski–Painleve convergence of the endographs of the intuitionistic fuzzy sets.
Zia Bashir, Tabasam Rashid, Sohail Zafar
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On the Intuitionistic Fuzzy Topological Structures of Rough Intuitionistic Fuzzy Sets

2014
A rough intuitionistic fuzzy set is the result of approximation of an intuitionistic fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough intuitionistic fuzzy sets. We first show that a reflexive crisp rough approximation space can induce an intuitionistic fuzzy Alexandrov space.
Guoyin Wang, Wei-Zhi Wu, Wei-Zhi Wu, You-Hong Xu, You-Hong Xu   +4 more
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Intuitionistic Fuzzy Set Theories [PDF]

, 2013
In real-life management situations, there exist a great deal of fuzziness. In 1965, Zadeh [1] firstly introduced the concept of the fuzzy set, which is an effective tool to deal with fuzziness. However, the fuzzy set employs single index (i.e., membership degree or function) to describe the two states of the support and opposition simultaneously ...
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More on intuitionistic fuzzy sets

Fuzzy Sets and Systems, 1989
Abstract New results on intuitionistic fuzzy sets are introduced. Two news operators on intuitionistic fuzzy sets are defined and their basic properties are studied.
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On Separability of Intuitionistic Fuzzy Sets

2003
Issues related to the separability of two intuitionistic fuzzy sets (IFSs; see [1]) are considered. The obtained results are relevant for decision making and classification. An example illustrating how the proposed solutions may improve decision making is presented.
Eulalia Szmidt, Janusz Kacprzyk, Ljudmila P. Todorova, Krassimir T. Atanassov   +3 more
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Mathematics of Intuitionistic Fuzzy Sets

2016
Short firsthand remarks on the history and theory of Intuitionistic Fuzzy Sets (IFSs) are given. Influences of other areas of mathematics for development of the IFSs theory are discussed. On the basis of results in IFSs theory, some ideas for development of other mathematical areas are offered.
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