Approximate solutions of fuzzy relational equations

Witold Pedrycz

doi:10.1016/0165-0114(88)90199-6

Approximate solutions of fuzzy relational equations

Witold Pedrycz

Katedra Pomiarów i Systemów Sterowania (RAU/RAU2)

R and D Center for Electronic Medical Instr.

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

A problem is studied of solving a system of fuzzy relational equations A_i{ring operator}R = B_i for known fuzzy sets A_i and B_i. It is pointed out that this is closely related to a task of discovering a structure of the data set (A_i, B_i), i = 1, 2,..., N, which plays an important role with respect to the solvability and identifiability property of the system of equations. Two main algorithms are proposed: their background is discussed with respect to solvablility of the system of equations. The relevant technical details are clarified in depth.

Język oryginału	angielski
Strony (od–do)	183-202
Liczba stron	20
Czasopismo	Fuzzy Sets and Systems
Tom	28
Numer wydania	2
Identyfikatory DOI	https://doi.org/10.1016/0165-0114(88)90199-6
Status publikacji	Opublikowano - lis 1988

Obszary tematyczne ASJC Scopus

Logika
Sztuczna inteligencja

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10.1016/0165-0114(88)90199-6

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abstract = "A problem is studied of solving a system of fuzzy relational equations Ai\{ring operator\}R = Bi for known fuzzy sets Ai and Bi. It is pointed out that this is closely related to a task of discovering a structure of the data set (Ai, Bi), i = 1, 2,..., N, which plays an important role with respect to the solvability and identifiability property of the system of equations. Two main algorithms are proposed: their background is discussed with respect to solvablility of the system of equations. The relevant technical details are clarified in depth.",

keywords = "Decoupling fuzzy sets, Hierarchical clustering, Identifiability, Solvability, Systems of fuzzy relational equations",

author = "Witold Pedrycz",

year = "1988",

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AB - A problem is studied of solving a system of fuzzy relational equations Ai{ring operator}R = Bi for known fuzzy sets Ai and Bi. It is pointed out that this is closely related to a task of discovering a structure of the data set (Ai, Bi), i = 1, 2,..., N, which plays an important role with respect to the solvability and identifiability property of the system of equations. Two main algorithms are proposed: their background is discussed with respect to solvablility of the system of equations. The relevant technical details are clarified in depth.

KW - Decoupling fuzzy sets

KW - Hierarchical clustering

KW - Identifiability

KW - Solvability

KW - Systems of fuzzy relational equations

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VL - 28

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

Approximate solutions of fuzzy relational equations

Abstrakt

Obszary tematyczne ASJC Scopus

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