On generalized fuzzy relational equations and their applications

Witold Pedrycz

doi:10.1016/0022-247X(85)90329-4

On generalized fuzzy relational equations and their applications

Witold Pedrycz

Department of Measurements and Control Systems (RAU/RAU2)

Research output: Contribution to journal › Article › peer-review

116 Citations (Scopus)

Abstract

The paper provides an idea of generalization of fuzzy relational equations where t- and s-norms are introduced. The first part contains an extensive presentation of the resolution of fuzzy relational equations; next the solutions are specified for a list of several triangular norms. Moreover the dual equations are considered. The second part deals with the applicational aspects of these equations in systems analysis, decision-making, and arithmetic of fuzzy numbers.

Original language	English
Pages (from-to)	520-536
Number of pages	17
Journal	Journal of Mathematical Analysis and Applications
Volume	107
Issue number	2
DOIs	https://doi.org/10.1016/0022-247X(85)90329-4
Publication status	Published - 1 May 1985

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/0022-247X(85)90329-4

Cite this

@article{c63e52d44df74b83898127dd42a98e21,

title = "On generalized fuzzy relational equations and their applications",

abstract = "The paper provides an idea of generalization of fuzzy relational equations where t- and s-norms are introduced. The first part contains an extensive presentation of the resolution of fuzzy relational equations; next the solutions are specified for a list of several triangular norms. Moreover the dual equations are considered. The second part deals with the applicational aspects of these equations in systems analysis, decision-making, and arithmetic of fuzzy numbers.",

author = "Witold Pedrycz",

year = "1985",

month = may,

day = "1",

doi = "10.1016/0022-247X(85)90329-4",

language = "English",

volume = "107",

pages = "520--536",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On generalized fuzzy relational equations and their applications

AU - Pedrycz, Witold

PY - 1985/5/1

Y1 - 1985/5/1

N2 - The paper provides an idea of generalization of fuzzy relational equations where t- and s-norms are introduced. The first part contains an extensive presentation of the resolution of fuzzy relational equations; next the solutions are specified for a list of several triangular norms. Moreover the dual equations are considered. The second part deals with the applicational aspects of these equations in systems analysis, decision-making, and arithmetic of fuzzy numbers.

AB - The paper provides an idea of generalization of fuzzy relational equations where t- and s-norms are introduced. The first part contains an extensive presentation of the resolution of fuzzy relational equations; next the solutions are specified for a list of several triangular norms. Moreover the dual equations are considered. The second part deals with the applicational aspects of these equations in systems analysis, decision-making, and arithmetic of fuzzy numbers.

UR - https://www.scopus.com/pages/publications/0022054643

U2 - 10.1016/0022-247X(85)90329-4

DO - 10.1016/0022-247X(85)90329-4

M3 - Article

AN - SCOPUS:0022054643

SN - 0022-247X

VL - 107

SP - 520

EP - 536

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On generalized fuzzy relational equations and their applications

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this