Fuzzy system is a system based on reasonable fuzzy if-then rules and logical fuzzy set operators (Fig. 2).
In fuzzy logic, if-then rules and fuzzy set operators are used to describe the relationships between input variables and output variables of a system.
The strategy is extended by running additional searches, which are combined with set operators (union, intersect or minus), or genomic interval operators (overlap, contains).
The truth set of a mutual belief expression is characterized as the greatest fixpoint of a monotone, continuous set operator.
Let (A:Hrightrightarrows2^{H}) be a point-to-set operator defined on a real Hilbert space H.
Let (B mathcal{H}rightrightarrows2^{mathcal{H}}) be a point-to-set operator defined on a real Hilbert space (mathcal{H}).
Based on a suggestion by J. McKinsey and A. Tarski (1944), L. Esakia (1981, 2003) investigated the interpretation of ◊ as the derived set operator d, which maps a set B to the set of its limit points d(B).
Studies in SCOPUS were identified with the terms narrow band or optical filter combined with the set operator AND with words beginning with colorect, adenoma, colonoscop or polyp.
Obviously, 1-set-contraction operators are convex-power 1-set-contraction operators.
As a complement, Li [2] has defined the fixed point index of 1-set-contractive operators and obtained some fixed point theorems of 1-set-contractive operators.
