Object structure
Title:

New developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Systems of intuitionistic fuzzy equations

Subtitle:

Książka = Book ; KS/3/2012/T1P[8]

Creator:

Matusiewicz, Zofia

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2012

Description:

[6], 113-128 stron ; 21 cm ; Bibliografia s. 127-128

Type of object:

Książka/Rozdział

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

Resource type:

Tekst

Detailed Resource Type:

Książka

Source:

KS-2012-03-T1P[8]

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

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