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Paper
Title

A novel species on MTL-algebras

Year: 1399
COI: ICFUZZYS19_065
Language: EnglishView: 117
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Authors

Saeide Zahiri - Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran.
Arsham Borumand Saeid - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

Abstract:

In this paper, we investigate monadic MTL-algebeas that can be caught as a extention of algebraic models of the predicate calculi of those logics. Firstly, we define monadic MTL-algebras: a variety of MTL-algebras equipped with two unary operators. Also, the vital properties of this algebra are given. Moreover, we introduce and study monadic filters in the monadic MTL-algebras. By this concept, representable monadic MTL-algebras were characterized. In addition, the notion of subdirectly irreducible monadic MTL-algebras have been defined and some basic properties of them have been determined.

Keywords:

(Monadic) MTL-algebras, Monadic filter

Paper COI Code

This Paper COI Code is ICFUZZYS19_065. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1193524/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Zahiri, Saeide and Borumand Saeid, Arsham,1399,A novel species on MTL-algebras, 19th Iranian Conference on Fuzzy Systems ,Mashhad,https://civilica.com/doc/1193524

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