( ),µ µ= ∀ ∈Basic Definitions over Fuzzy Sets• A fuzzy subset A ⊆ E is contained in B ⊆ E iff( ) ( ),µ µ≤∀ ∈• A fuzzy subset A ⊆ E is said to be normal iffmax ( ) 1µ∈=• The support of a fuzzy subset A ⊆ E is a crisp set ...
ALisp-like language andcompilerfor theIBM 370written by Jeff Barnett of SDC, Santa Monica, CA, USA in the early 1970s. It generalisedLisp's two-part cons nodes to n-part nodes. crisp (2) (Or "discrete") The opposite of "fuzzy". ...
This paper sets forth in detail point-set lattice-theoretic or poslat foundations of all mathematical and fuzzy set disciplines in which the operations of ... Rodabaugh,S Ernest - 《Quaestiones Mathematicae》 被引量: 130发表: 1997年 An Introduction to Crisp Set QCA, with a Comparison to Binary...
In this paper,firstly,it is stated that,an intuitionistic fuzzy sets is a L-fuzzy set,and a set of all intuitionistic fuzzy sets over X is a complete latti... L Min - 《Journal of Liaoning Normal University》 被引量: 35发表: 2007年 Interval-valued intuitionistic fuzzy subgroups based on...
a new design for natural gas pressure reduction points by employing a turbo expander but and a solar heating set 热度: Sara, Book 3 A Talking Owl Is Worth a Thousand Words by Esther Hicks, Jerry Hicks. 热度: OnApproximationofFuzzySetsbyCrispSets:FromContinuous ...
a fuzzy set in U , and A ~ µ is the membership function for any U x i ! whose output is located between 0 and 1, representing the membership degree. Equations (2) and (3) represent the membership degrees of a fuzzy set and crisp set, respectively. ! ! ! " ! ! !
As stressed in [1] and [12] an interesting question on philosophy of probability is to assign probabilistic valuations to individual phenomenon. In [10] such a question was discussed and a solution was proposed. In this chapter we start from the ideas in
This study deals with the integration of crisp and granular information for predicting the performance of a manufacturing process. Supporting and computing a set of two If-Then rules is considered the central idea for this integration. In these rules, the antecedent part deals with the recommended...
Section 2 of this paper provides a brief introduction to the fuzzy-set approach, building on Ragin (2000). Fuzzy sets are especially powerful because they allow researchers to calibrate partial membership in sets using values in the interval between 0 (nonmembership) and 1 (full membership) ...
2) Fuzzy set 不分明集 3) Semi-crisp Closed Set 准分明闭集 4) fuzzy α-set 不分明α-集 5) crisp-degree of pseudocrisp set 准分明集的分明度 1. In this paper,a set of weak separation axioms in L-fuzzy topological spaces are defined and studied by giving the concept of thecrisp-degree...