Associative monotonic commutative operator (AMC) UV

Volume: 2 Number: 1 March 1, 2017
  • Umit Ertugrul
Communication in Mathematical Modeling and Applications Cover
Communication in Mathematical Modeling and Applications
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Associative monotonic commutative operator (AMC) UV

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.

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Primary Language

English

Subjects

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Journal Section

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Authors

Umit Ertugrul This is me

Publication Date

March 1, 2017

Submission Date

March 1, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 2 Number: 1

IZ

https://izlik.org/JA66JL66YP

Cite

RIS / Bibtex
APA
Ertugrul, U. (2017). Associative monotonic commutative operator (AMC) UV. Communication in Mathematical Modeling and Applications, 2(1), 23-28. https://izlik.org/JA66JL66YP
AMA
1.Ertugrul U. Associative monotonic commutative operator (AMC) UV. CMMA. 2017;2(1):23-28. https://izlik.org/JA66JL66YP
Chicago
Ertugrul, Umit. 2017. “Associative Monotonic Commutative Operator (AMC) UV”. Communication in Mathematical Modeling and Applications 2 (1): 23-28. https://izlik.org/JA66JL66YP.
EndNote
Ertugrul U (March 1, 2017) Associative monotonic commutative operator (AMC) UV. Communication in Mathematical Modeling and Applications 2 1 23–28.
IEEE
[1]U. Ertugrul, “Associative monotonic commutative operator (AMC) UV”, CMMA, vol. 2, no. 1, pp. 23–28, Mar. 2017, [Online]. Available: https://izlik.org/JA66JL66YP
ISNAD
Ertugrul, Umit. “Associative Monotonic Commutative Operator (AMC) UV”. Communication in Mathematical Modeling and Applications 2/1 (March 1, 2017): 23-28. https://izlik.org/JA66JL66YP.
JAMA
1.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, Mar. 2017, pp. 23-28, https://izlik.org/JA66JL66YP.
Vancouver
1.Umit Ertugrul. Associative monotonic commutative operator (AMC) UV. CMMA [Internet]. 2017 Mar. 1;2(1):23-8. Available from: https://izlik.org/JA66JL66YP