Graded dominance and related graded properties of fuzzy connectives

Libor Běhounek; Ulrich Bodenhofer; Petr Cintula; Susanne Saminger-Platz; Peter Sarkoci

doi:10.1016/j.fss.2014.04.025

Graded dominance and related graded properties of fuzzy connectives

Libor Běhounek
, Ulrich Bodenhofer
, Petr Cintula^*
, Susanne Saminger-Platz
, Peter Sarkoci

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

Graded properties of binary and unary fuzzy connectives (valued in ^MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.

Original language	English
Pages (from-to)	78-101
Number of pages	24
Journal	Fuzzy Sets and Systems
Volume	262
DOIs	https://doi.org/10.1016/j.fss.2014.04.025
Publication status	Published - 1 Mar 2015
Externally published	Yes

Keywords

Dominance
Fuzzy Class Theory
Fuzzy connective
Fuzzy relation

Access to Document

10.1016/j.fss.2014.04.025

Cite this

@article{63b422e9ad464ed8ad557bbf540ef23d,

title = "Graded dominance and related graded properties of fuzzy connectives",

abstract = "Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.",

keywords = "Dominance, Fuzzy Class Theory, Fuzzy connective, Fuzzy relation",

author = "Libor B{\v e}hounek and Ulrich Bodenhofer and Petr Cintula and Susanne Saminger-Platz and Peter Sarkoci",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = mar,

day = "1",

doi = "10.1016/j.fss.2014.04.025",

language = "English",

volume = "262",

pages = "78--101",

journal = "Fuzzy Sets and Systems",

issn = "0165-0114",

publisher = "Elsevier",

}

TY - JOUR

T1 - Graded dominance and related graded properties of fuzzy connectives

AU - Běhounek, Libor

AU - Bodenhofer, Ulrich

AU - Cintula, Petr

AU - Saminger-Platz, Susanne

AU - Sarkoci, Peter

PY - 2015/3/1

Y1 - 2015/3/1

N2 - Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.

AB - Graded properties of binary and unary fuzzy connectives (valued in MTLΔ-algebras) are studied, including graded monotony, a generalized Lipschitz property, commutativity, associativity, unit and null elements, and the dominance relation between fuzzy connectives. The apparatus of Fuzzy Class Theory (or higher-order fuzzy logic) is employed as a tool for easy derivation of graded theorems on the connectives.

KW - Dominance

KW - Fuzzy Class Theory

KW - Fuzzy connective

KW - Fuzzy relation

UR - https://www.scopus.com/pages/publications/84920754893

U2 - 10.1016/j.fss.2014.04.025

DO - 10.1016/j.fss.2014.04.025

M3 - Article

AN - SCOPUS:84920754893

SN - 0165-0114

VL - 262

SP - 78

EP - 101

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Graded dominance and related graded properties of fuzzy connectives

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this