1. Residual implications on the set of discrete fuzzy numbers.
- Author
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Riera, J. Vicente and Torrens, Joan
- Subjects
- *
SET theory , *FUZZY numbers , *DISCRETE systems , *NATURAL numbers , *INTERVAL analysis , *LATTICE theory , *BLOWING up (Algebraic geometry) - 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]
- Published
- 2013
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