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Associative monotonic commutative operator (AMC) UV

Year 2017, Volume: 2 Issue: 1, 23 - 28, 01.03.2017

Umit Ertugrul

Abstract

Uninorms and nullnorms are associative monotonic and commutative operators. In this study, an operator UV is defined by
uninorm U and nullnorm V and showed that UV satisfies associativity, monotonicity and commutativity properties. And it is showed
that UV does not have neutral element and have zero element if U is disjunctive uninorm on [0,k]. Moreover, it is show that if it is taken
smallest uninorm and nulnorm, UV is also smallest AMC operator.

Keywords

Uninorm nullnorm chain AMC operator

Year 2017, Volume: 2 Issue: 1, 23 - 28, 01.03.2017

Umit Ertugrul

Abstract

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Details

Other ID JA65PN47HT
Journal Section Research Article
Authors

Umit Ertugrul This is me

Publication Date March 1, 2017
Published in Issue Year 2017 Volume: 2 Issue: 1

Cite

APA Ertugrul, U. (2017). Associative monotonic commutative operator (AMC) UV. Communication in Mathematical Modeling and Applications, 2(1), 23-28.
AMA Ertugrul U. Associative monotonic commutative operator (AMC) UV. CMMA. March 2017;2(1):23-28.
Chicago Ertugrul, Umit. “Associative Monotonic Commutative Operator (AMC) UV”. Communication in Mathematical Modeling and Applications 2, no. 1 (March 2017): 23-28.
EndNote Ertugrul U (March 1, 2017) Associative monotonic commutative operator (AMC) UV. Communication in Mathematical Modeling and Applications 2 1 23–28.
IEEE U. Ertugrul, “Associative monotonic commutative operator (AMC) UV”, CMMA, vol. 2, no. 1, pp. 23–28, 2017.
ISNAD Ertugrul, Umit. “Associative Monotonic Commutative Operator (AMC) UV”. Communication in Mathematical Modeling and Applications 2/1 (March 2017), 23-28.
JAMA Ertugrul U. Associative monotonic commutative operator (AMC) UV. CMMA. 2017;2:23–28.
MLA Ertugrul, Umit. “Associative Monotonic Commutative Operator (AMC) UV”. Communication in Mathematical Modeling and Applications, vol. 2, no. 1, 2017, pp. 23-28.
Vancouver Ertugrul U. Associative monotonic commutative operator (AMC) UV. CMMA. 2017;2(1):23-8.