Convexly combined fuzzy relational equations and several aspects of their application to fuzzy information processing

Ohsato, Ario; Sekiguchi, Takashi

doi:10.1016/0020-0255(88)90044-8

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1989

2009

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Cited by 7 publications

(1 citation statement)

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“…Fuzzy relational calculus plays a vital role in fuzzy sets theory [3][4][5][6]9,10,15]. Recently, several applications in the field of non-linear image processing were developed based on fuzzy relational calculus.…”

Section: Introductionmentioning

confidence: 99%

On various eigen fuzzy sets and their application to image reconstruction

Nobuhara

Bede

Hirota

2006

Information Sciences

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Section: Introductionmentioning

confidence: 99%

On various eigen fuzzy sets and their application to image reconstruction

Nobuhara

Bede

Hirota

2006

Information Sciences

View full text Add to dashboard Cite

Bibliographies

Nola¹,

Sessa²,

Pedrycz³

et al. 1989

Fuzzy Relation Equations and Their Applications to Knowledge Engineering

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A survey on fuzzy relational equations, part I: classification and solvability

Fang

2009

Fuzzy Optim Decis Making

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Fuzzy relational equations play an important role in fuzzy set theory and fuzzy logic systems, from both of the theoretical and practical viewpoints. The notion of fuzzy relational equations is associated with the concept of "composition of binary relations." In this survey paper, fuzzy relational equations are studied in a general lattice-theoretic framework and classified into two basic categories according to the duality between the involved composite operations. Necessary and sufficient conditions for the solvability of fuzzy relational equations are discussed and solution sets are characterized by means of a root or crown system under some specific assumptions.

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Convexly combined fuzzy relational equations and several aspects of their application to fuzzy information processing

Cited by 7 publications

References 35 publications

On various eigen fuzzy sets and their application to image reconstruction

On various eigen fuzzy sets and their application to image reconstruction

Bibliographies

A survey on fuzzy relational equations, part I: classification and solvability

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