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Title

A METRIC-LIKE TOPOLOGY ON BL-ALGEBRAS

مجله ساختارهای جبری، دوره: 9، شماره: 2
Year: 1401
COI: JR_JAS-9-2_009
Language: EnglishView: 74
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Authors

Seyed M. A. Khatami - Department of Computer Science, Birjand University of Technology, Birjand, Iran.

Abstract:

This paper is devoted to introduce a topology on BL-algebras, makes them semitopological algebras. For any BL-algebra \mathcal{L}=(L, \wedge, \vee, *, \too , ۰, ۱), the introduced topology is defined by a distance-like function between elements of L which is defined by a \leftrightarrow b=(a\too b)*(b\too a). We will show that when the continuous scale [۰,۱] is endowed to be a BL-algebra, then this topology admits some of the most important properties of the metric topology. Finally, we will show that this topology can be examined by a similar topology on dual of BL-algebras as well.

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Paper COI Code

This Paper COI Code is JR_JAS-9-2_009. 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/1282216/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Khatami, Seyed M. A.,1401,A METRIC-LIKE TOPOLOGY ON BL-ALGEBRAS,https://civilica.com/doc/1282216

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  • C. Alsina, E. Trillas and L. Valverde, On some logical ...
  • D. Boixader, F. Esteva and L. Godo, On the continuity ...
  • R. A. Borzooei, G. Rezaei and N. Kouhestani, Metrizability on ...
  • R. A. Borzooei, G. Rezaei and N. Kouhestani, On (semi) ...
  • C. C. Chang, A new proof of the completeness of ...
  • P. Hájek, Metamathematics of Fuzzy Logic￿, Kluwer Academic Trends in ...
  • U. Höhle, Probabilistic uniformization of fuzzy topologies, Fuzzy Sets and ...
  • S. M. A. Khatami, A metric on [۰; ۱] which ...
  • E. P. Klement, R. Mesiar and E. Pap, Triangular Norms, ...
  • K. Menger, Statistical Metrics, Proc. Nat. Acad. of Sci., U.S.A., ...

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Type of center: دانشگاه دولتی
Paper count: 8,799
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