Characterizations of Noetherian BCK-algebras via fuzzy ideals
โ Scribed by Young Bae Jun
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 80 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0165-0114
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๐ SIMILAR VOLUMES
In this paper, we introduce the concept of fuzzy implicative ideals in BCK-algebras and study some of their properties.
invertible fuzzy ideals in commutative BCK-algebras.
โ, โ โจ q k )-fuzzy ideal Fuzzy ideal with thresholds Fuzzifying ideal t-implication-based fuzzy ideal a b s t r a c t A generalization of an (โ, โ โจq)-fuzzy ideal of a BCK/BCI-algebra is discussed. Characterizations of an (โ, โ โจq k )-fuzzy ideal and an (โ, โโจq k )-fuzzy ideal are provided. Conditio
ฮฑ, ฮฒ)-fuzzy subsemigroups (ฮฑ, ฮฒ)-fuzzy ideals (ฮฑ, ฮฒ)-fuzzy bi-ideals (ฮฑ, ฮฒ)-fuzzy quasi-ideals a b s t r a c t Using the ideas of belonging and quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (ฮฑ, ฮฒ)-fuzzy ideals and (ฮฑ, ฮฒ)-fuzzy generalized bi-ideals, which are generalization of
We show that in an MV-algebra Z, for each of the listed properties and its fuzzy analogue: implicative, prime, essential, weakly essential, and maximal, the following are equivalent: (i) the fuzzy ideal v has the fuzzy property, (ii) the level ideal Z,. has the property, (iii) the fuzzy ideal Zz, ha