The paper focuses on the study of the contradiction between two Atanassov's intuitionistic fuzzy sets. First, taking into account some characterizations obtained in previous papers, some functions are defined in order to measure the degrees of contradiction. Besides the principal properties of these measures are pointed out. Finally, some results relating self-contradiction and contradiction be...

In this paper, we interrelate the intuitionistic fuzzification of the concept of BCI-(positive implicative, implicative, commutative) ideals in BCI-algebras and investigate some of their properties.

In this article we propose a new measure of similarity for intuitionistic fuzzy sets. The proposed measure takes into account not only a pure distance between elements but measures the whole missing information which may be necessary to say if the considered elements are more similar or more dissimilar. It is shown that even if a distance between objects is small it can happen that the objects ...

The intuitionistic Q-fuzzification of the concept of subalgebras in BCK/BCI-algebra is considered, and some related properties are investigated.

We introduce the notion of intuitionistic fuzzy (left) h-ideals of hemirings and investigate their properties connected with the corresponding level subsets. Methods of constructions of such intuitionistic fuzzy ideals from given sequences of left h-ideals of a hemiring R are presented. Some natural classification of such intuitionistic fuzzy h-ideals is given. Key–Words: Hemiring, fuzzy set, i...

We consider the intuitionistic fuzzification of the concept of several Γ-ideals in a Γ-semigroup S, and investigate some properties of such Γ-ideals.

We propose a new approach for medical diagnosis by employing intuitionistic fuzzy sets [cf. Atanassov [1, 2]]. Solution is obtained by looking for the smallest distance [cf. Szmidt and Kacprzyk [7, 8]] between symptoms

An improvised technique is proposed in detecting and extracting color regions of an image using intuitionistic fuzzy set (IFS) theory. This will be very useful especially for remotely sensed images where different types of regions (agricultural, watery, or volcanic) are to be extracted. Comparing with non-fuzzy and fuzzy method, results of an extracted image were found better due to considerati...

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 possible.