In this paper we develop a general theory on fuzzy subgroupoids with respect to a t-norm T which includes many known concepts and results as its special cases. Particular attention is paid to the fuzzy subgroupoids induced by a probability space. The associative law and the existence of inverse elem
The determinant of a fuzzy matrix with respect to t and co-t norms
β Scribed by Rohan Hemasinha; Nikhil R. Pal; James C. Bezdek
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 559 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
We study determinants of square matrices over the interval [0, 1] when ordinary multiplication is replaced by a triangular norm and ordinary addition is replaced by a triangular conorm.
π SIMILAR VOLUMES
In the literature, the limiting behavior of powers of a fuzzy matrix has been studied with max-product composition. Pang and Guu proposed a simple and e ective characterization for the limiting behavior with the notion of asymptotic period. In this paper, we shall extend Pang and Guu's work to the r
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 simple method of computing the T-sum of special types of fuzzy numbers is introduced. For the Lukasiewicz t-norm TL the proposed method can be applied to the addition of fuzzy numbers with convex membership functions. The classes of fuzzy numbers leading to @-idempotents are studied for continuous