What is interval valued fuzzy sets?
What is interval valued fuzzy sets?
An interval-valued fuzzy set on an universe is a mapping such that (4) X ˆ : U → I n t ( [ 0 , 1 ] ) , where Int ( [ 0 , 1 ] ) stands for the set of all closed subintervals of , the set of all interval-valued fuzzy sets on is denoted by P ˜ ( U ) .
What is fuzzy interval?
A fuzzy interval is a fuzzy set in the real line whose level-cuts are intervals. Particular cases include usual real numbers and intervals. Usual operations on the real line canonically extend to operations between fuzzy quantities, thus extending the usual interval (or error) analysis to membership functions.
What are the types of fuzzy logic sets?
There are largely three types of fuzzifiers:
- Singleton fuzzifier.
- Gaussian fuzzifier.
- Trapezoidal or triangular fuzzifier.
What is the difference between fuzzy set and soft set?
A fuzzy set on X can be viewed as a crisp set of fuzzy elements, and as a gradual element of the power set . Soft sets generalize this view, and as such are part of the definition of random sets in Dempster [8] (cf., Dubois and Prade [11, Section 5]).
What is L fuzzy set?
An L-fuzzy partially ordered set (A, R) is called an L-fuzzy lattice on X if for any x, y ∈ A (0), both L-fuzzy supremum and L-fuzzy infimum of x, y exist.
What is fuzzy set qualitative comparative analysis?
Fuzzy-set qualitative comparative analysis (Fs/QCA) is a social science method developed in order to combine case-oriented and variable-oriented quantitative analysis. Fs/QCA recognizes the limitation of case-oriented research in theorization and scientific measurement.
What is convex fuzzy set?
Convex fuzzy set. A fuzzy set µ is said to be convex, if for all x,y ∈ suppµ and. λ ∈ [0,1] there is. µ(λx + (1 − λ)y) ≥ λµ(x)+(1 − λ)µ(y).
What is fuzzy set theory using examples discuss how fuzzy sets differ from crisp sets?
A fuzzy set is determined by its indeterminate boundaries, there exists an uncertainty about the set boundaries. On the other hand, a crisp set is defined by crisp boundaries, and contain the precise location of the set boundaries.
