Fuzzy filters

Fuzzy filters and fuzzy prime filters of bounded R

The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in corresponding inference systems from the point of view of uncertain information can be described by fuzzy filters of those algebraic semantics. Bounded residuated lattice ordered monoids (R`-monoids) are a common generalization of pseudo ...

Fuzzy filters in ordered $Gamma$-semirings

We introduce the notion of ideal, prime ideal, lter, fuzzy ideal, fuzzy prime ideal, fuzzy lter of ordered $Gamma$-semiring and study their properties and relations between them. We characterize the prime ideals and lters of ordered $Gamma$-semiring with respect to fuzzy ideals and fuzzy l- ters respectively.

Fuzzy Filters in Bci-algebras

Filters in fuzzy class theory

The notion of filter is established in fuzzy class theory. Graded properties of filters, prime filters and related concepts are investigated. In particular we study properties of filters relativized with respect to the basic three t-norms: Gödel, product, and Lukasiewicz. It is shown that our approach gives rise to a broad class of models including probability and necessity measures on fuzzy se...

Rational-based Adaptive Fuzzy Filters

This paper describes an adaptive filtering approach for multichannel image processing. We present a general formulation based on rational functions (RF) and fuzzy concepts using fuzzy transformations, which allows the use of adaptive weights in the filtering structure, and we discuss different filter designs. Simulation results illustrate the strong potential of the new adaptive fuzzy filters f...