Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Session: S11: Theory and applications of intuitionistic fuzzy sets
10 articles
Proceedings Article
Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory
Glad Deschrijver
In this paper we propose an extension of the wellknown OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov's intuitionistic (AIFS) fuzzy set theory. We first extend the arithmetic and the quasi-arithmetic mean using the arithmetic operators in IVFS and AIFS theory and investigate...
Proceedings Article
Weighted Voting Method Using Atanassov's Intuitionistic Fuzzy Preference Relations and Ignorance Functions
Daniel Paternain, Aranzazu Jurio, Edurne Barrenechea, Humberto Bustince, Benjamin Bedregal, Eulalia Szmidt
In this work we present a method for constructing an Atanassov's intuitionistic fuzzy preference relation from a fuzzy preference relation that takes into account the ignorance of the expert when evaluating the preferences in the latter. Moreover, we present two algorithms that make use of this method...
Proceedings Article
The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets
Eulalia Szmidt, Janusz Kacprzyk
This paper is a continuation of our previous work on Pearson's coefficient r and we discuss here the concept of the Spearman correlation coefficient and the Kendall correlation coefficient between Atanassov's intuitionistic fuzzy sets (A-IFSs, for short) to measure the degree of association between the...
Proceedings Article
Intuitionistic fuzzy preference relations
Urszula Dudziak, Barbara Pekala
We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov's operators like F,, P,, Q,, where , [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity,...
Proceedings Article
Probability on Effect Algebras
Mája Kuková, Alzbeta Michalíková, Belo Riecan
Effect algebras ([1], [2]) and D-posets ([3]) are equivalent systems important in quantum structures. In the paper an independent sequence of observables is defined by such a way that a very general version of the central limit theorem may be proved.
Proceedings Article
On the distributive equation for t-representable t-norms generated from nilpotent and strict t-norms
Michal Baczynski
Recently, in [4], we have discussed the following distributive equation of implications I(x, T1(y, z)) = T2(I(x, y), I(x, z)) over t-representable t-norms, generated from strict t-norms, in interval-valued fuzzy sets theory. In this work we continue these investigations, but with the assumption that...
Proceedings Article
An axiomatic definition of divergence for intuitionistic fuzzy sets
Ignacio Montes, Vladimir Janis, Susana Montes
An axiomatic definition of divergence measure for intuitionistic fuzzy sets (IFSs, for short) is presented in this work, as a particular case of dissimilarity between IFSs. As the concept of divergence measure is more restrictive, it has particular properties which are studied. Furthermore, the relationships...
Proceedings Article
Preservation of Intuitionistic Fuzzy Preference Relations
Pawel Drygas
In this paper we consider some properties of intuitionistic fuzzy preference relations. We pay attention to preservation of intuitionistic fuzzy preference relations by aggregation operations. In particular, we know, that a special kind of aggregation operations (lattice operations) do not preserve intuitionistic...
Proceedings Article
The Inclusion-Exclusion Principle On the Set of IF-sets
Jana Kelemenová
P. Grzegorzewski [3] has worked the probability version of the inclusion-exclusion principle and made a generalization for IF-events. He had applied two versions of the generalized formula, corresponding to different t-conorms and so defined the union of IF-events. This paper contains the generalization...
Proceedings Article
Linear programming with Triangular Intuitionistic Fuzzy Number
Dipti Dubey, Aparna Mehra
This paper presents an approach based on value and ambiguity indexes defined in [1] to solve linear programming problems with data as triangular intuitionistic fuzzy numbers.