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Martingale Convergence Theorem for the Conditional Intuitionistic Fuzzy Probability
For the first time, the concept of conditional probability on intuitionistic fuzzy sets was introduced by K. Lendelová. She defined the conditional intuitionistic fuzzy probability using a separating intuitionistic fuzzy probability.
Katarína Čunderlíková
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Three de-intuitionistic fuzzification procedures over circular intuitionistic fuzzy sets [PDF]
Circular Intuitionistic Fuzzy Sets (CIFS) are one of the newest extensions of the intuitionistic fuzzy sets. In the present paper, three procedures for de-intuitionistic fuzzification of CIFS are discussed.
Lilija C. Atanassova
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By an intuitionistic fuzzy set (IFS) the author understands a pair of generalized characteristic functions and hence a generalization of a fuzzy set. These two functions for each point of the universe of discourse describe separately its degrees of membership and of nonmembership with respect to the IFS they characterize.
Krassimir Atanassov
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Type-1 Fuzzy Sets and Intuitionistic Fuzzy Sets [PDF]
A comparison between type-1 fuzzy sets (T1FSs) and intuitionistic fuzzy sets (IFSs) is made. The operators defined over IFSs that do not have analogues in T1FSs are shown, and such analogues are introduced whenever ...
Krassimir T. Atanassov +1 more
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Trillas et al. (1999, Soft computing, 3 (4), 197–199) and Trillas and Cubillo (1999, On non-contradictory input/output couples in Zadeh's CRI proceeding, 28–32) introduced the study of contradiction in the framework of fuzzy logic because of the ...
Torres Blanc, Carmen +5 more
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Systems on intuitionistic fuzzy special sets and intuitionistic fuzzy special measures
On the base of the notions of intuitionistic fuzzy set (extension of the ordinary fuzzy set) [the reviewer, Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)], intuitionistic fuzzy point, and intuitionistic fuzzy topological space [\textit{D.
Erdal Coşkun
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Clustering stock price volatility using intuitionistic fuzzy sets [PDF]
Clustering involves gathering a collection of objects into homogeneous groups or clusters, such that objects in the same cluster are more similar when compared to objects present in other groups.
Chountas, P., Urumov, G.
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Towards Interval Type-3 Intuitionistic Fuzzy Sets and Systems
In this work, several types of intuitionistic fuzzy sets, inspired by Type-2 and Type-3 concepts, are introduced. In particular, the newly proposed interval Type-3 intuitionistic sets are very interesting as they extend the opportunities of both interval
Oscar Castillo, Patricia Melin
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Optimal Granulation Selection Method Based on Multi-granulation Rough Intuitionistic Hesitant Fuzzy Sets [PDF]
In order to obtain the optimal granulations after reduction from the intuitionistic hesitant fuzzy decision information system with multiple attributes,this paper deals with the uncertain information in this system from the perspective of multi-gra ...
XUE Zhan-ao, SUN Bing-xin, HOU Hao-dong, JING Meng-meng
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Some Results for Intuitionistic Fuzzy Inequality
Intuitionistic fuzzy sets, characterized by membership degree $$\mu $$ μ , non-membership degree $$\upsilon $$ υ and hesitation degree $$\pi $$ π , are a meaningful extension of fuzzy set.
Xindong Peng, Harish Garg, Zhigang Luo
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