By means of the use of a t-norm T on a complete lattice L and of a L-fuzzy relation R on a set X , there are stated deΓΏnitions of LF-semi-ideal and of its dual LF-semi-ΓΏlter of the set X . It is shown that both the poset of the LF-semi-ideals and one of the LF-semi-ΓΏlters determined by the respectiv
A method to make some fuzzy relations T-transitive
β Scribed by Luis Garmendia; Cristina del Campo; Susana Cubillo; Adela Salvador
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 153 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
β¦ Synopsis
A new method is given for a finite reflexive relation with a fixed set of properties and a t-norm T, so that a different, but similar, T-transitive relation could be found. The transitive closure is greater than the given relation; however, the T-transitivized relation defined in this article is less than or equal to the original one, while reaching or maintaining, in this case, the T-conditionality. The algorithm also verifies if a relation is T-transitive.
π SIMILAR VOLUMES
introduced a continuous interval argument OWA ~C-OWA! operator, which extends the ordered weighted averaging ~OWA! operator, introduced by Yager @IEEE Trans Syst Man Cybern B 1988;18:183-190#, to the case in which the given argument is a continuous valued interval rather than a finite set of values.
The question whether a family of fuzzy subsets can be transformed by a multiplicative function is investigated in order to minimize its TL-redundancy and in order to get a family of fuzzy points with respect to some equality relation.