Molodtsov [D. Molodtsov, Soft set theory -First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. Jun [Y. B. Jun, Soft BCK/
Soft BCK/BCI-algebras
β Scribed by Young Bae Jun
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 262 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
Molodtsov [D. Molodtsov, Soft set theory -First results, Comput. Math. Appl. 37 (1999) 19-31]
introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. The notion of soft BCK/BCI-algebras and soft subalgebras are introduced, and their basic properties are derived.
π SIMILAR VOLUMES
β, β β¨ 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 (β, β β¨q)-fuzzy ideal of a BCK/BCI-algebra is discussed. Characterizations of an (β, β β¨q k )-fuzzy ideal and an (β, ββ¨q k )-fuzzy ideal are provided. Conditio
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
## Abstract In this paper we consider twelve classical laws of negation and study their relations in the context of BCKβalgebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characteriz
In this paper, we define fuzzy H-ideals in BCI-algebras and study its several properties. ~,i~ 1999 Elsevier Science B.V. All rights reserved.
The concept of a fuzzy annihilator in a commutative BCK-algebra will be introduced and then we investigate some basic properties. Using this notion, we deΓΏne an involutory (resp. invertible) fuzzy ideal. We prove that (i) every bounded implicative BCK-algebra is an involutory fuzzy BCK-algebra, and