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Residual implications on the set of discrete fuzzy numbers.
- Source :
-
Information Sciences . Oct2013, Vol. 247, p131-143. 13p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper residual implications defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers are studied. A specific construction of these implications is given and some examples are presented showing in particular that such a construction generalizes the case of interval-valued residual implications. The most usual properties for these operations are investigated leading to a residuated lattice structure on the set of discrete fuzzy numbers, that in general is not an MTL-algebra. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00200255
- Volume :
- 247
- Database :
- Academic Search Index
- Journal :
- Information Sciences
- Publication Type :
- Periodical
- Accession number :
- 89436953
- Full Text :
- https://doi.org/10.1016/j.ins.2013.06.008