Classification of some elements in pseudo BL-algebras.
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| Title: | Classification of some elements in pseudo BL-algebras. |
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| Authors: | Daneshpayeh, Roohallah1, Borumand Saeid, Arsham2 arsham@uk.ac.ir, Mirvakili, Saeed1, Rezaei, Akbar1 |
| Source: | Journal of Intelligent & Fuzzy Systems. 2018, Vol. 35 Issue 6, p6367-6377. 11p. |
| Subjects: | Classification algorithms, Pseudocode (Computer program language), Algebra, Orthogonal codes, Small divisors |
| Abstract: | In this paper, the notions of orthogonal, dense, regular, zero-divisor, strong and complemented elements in a pseudo BL-algebra are introduced and relation between the orthogonal and zero-divisor elements for perfect (good) pseudo BL-algebras is investigated. In particular, we get some results when a pseudo BL- algebra is good or perfect. Finally, a new characterization of these elements in a pseudo BL-algebra by a diagram is given. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | In this paper, the notions of orthogonal, dense, regular, zero-divisor, strong and complemented elements in a pseudo BL-algebra are introduced and relation between the orthogonal and zero-divisor elements for perfect (good) pseudo BL-algebras is investigated. In particular, we get some results when a pseudo BL- algebra is good or perfect. Finally, a new characterization of these elements in a pseudo BL-algebra by a diagram is given. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 10641246 |
| DOI: | 10.3233/JIFS-181218 |
