Fuzzy Sets and Systems
More on intuitionistic fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Structures on intuitionistic fuzzy relations
Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory
Fuzzy Sets and Systems - Theme: Basic notions
Multiattribute decision making models and methods using intuitionistic fuzzy sets
Journal of Computer and System Sciences
Intuitionistic preference relations and their application in group decision making
Information Sciences: an International Journal
Fuzzy Optimization and Decision Making
An Overview of Fuzzy Relational Calculus and Its Applications
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Fuzzy Optimization and Decision Making
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Fuzzy Relational Calculus and Its Application to Image Processing
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Closures of Intuitionistic Fuzzy Relations
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Equivalent bipolar fuzzy relations
Fuzzy Sets and Systems
Information Sciences: an International Journal
On averaging operators for Atanassov's intuitionistic fuzzy sets
Information Sciences: an International Journal
Rough approximations of vague sets in fuzzy approximation space
International Journal of Approximate Reasoning
On correlation measures of intuitionistic fuzzy sets
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
Properties of Atanassov's intuitionistic fuzzy relations and Atanassov's operators
Information Sciences: an International Journal
Hi-index | 0.00 |
Fuzzy relations are able to model vagueness, in the sense that they provide the degree to which two objects are related to each other. However, they cannot model uncertainty: there is no means to attribute reliability information to the membership degrees. Intuitionistic fuzzy sets, as defined by Atanassov (Instuitionistic Fuzzy Sets, Physica-Verlag, Heidelberg, New York, 1999), give us a way to incorporate uncertainty in an additional degree. Intuitionistic fuzzy relations are intuitionistic fuzzy sets in a cartesian product of universes.One of the main concepts in relational calculus is the composition of two relations. Burillo and Bustince (Fuzzy Sets and Systems 78 (1996) 293; Soft Comput. 2 (1995) 5) have extended the sup-T composition of fuzzy relations to a composition of intuitionistic fuzzy relations. In this paper, we present an intuitionistic fuzzy version of the triangular compositions of Bandler and Kohout (in: P. Wang, S. Chang (Eds.), Theory and Application to Policy Analysis and Information Systems, Plenum Press, New York, 1980, p. 341) and the variants of these compositions given by De Baets and Kerre (Adv. Electron. Electron Phys. 89 (1994) 255). Some properties of these compositions are investigated: containment, convertibility, monotonicity, interaction with union and intersection.