Subtitle:

Książka = Book ; KS/3/2012/T1P[8]

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Description:

[6], 113-128 pages ; 21 cm ; Bibliography p. 127-128

Type of object:

Book/Chapter

Abstract:

The idea of intuitionistic fuzzy sets is a generalization of Zadeh’s concept of fuzzy sets. This extension of fuzzy set was introduced by Atanassov in 1986 [2]. In the next years intuitionistic fuzzy sets was considered and discussed. Intuitionistic fuzzy relations was started by Atanassov in 1995. Especially Bustince and Burillo published few articles about these relations and gave the most general definition of relations composition. Based on previous results the problem of solving of intuitionistic fuzzy relational equations has been discussed by many authors e.g. Peeva and Kyosev [14] or Zhou and Bao [17]. In this article, we consider systems of intuitionistic fuzzy equations as a generalization of systems of equations with max−T and min−S products, where T is triangular norm and S is triangular conorm. The goal of this paper is the complete description of the family of all solutions. Moreover, we investigate correlation between systems of intuitionistic fuzzy equations and systems of fuzzy equations.

Relation:

Książka = Book

Detailed Resource Type:

Book

Resource Identifier:

oai:rcin.org.pl:198679

Source:

KS-2012-03-T1P[8]

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open