...In his paper, Zadeh introduced a theory whose objects-fuzzy sets-are sets with imprecise boundaries. Membership in a fuzzy set is not a matter of affirmation or denial, but rather a matter of degree. acquire the capability to bridge, in whatever crude way, mathematics...

...l937. Zadeh tl965) introduced a theory whose objects. fuzzy sets. arc sets with imprecise boundaries. Membership in a fuzzy set is not a matter of affirmation or denial. but rather a matter of degree. The importance of Zadeh's paper was that it challenged the adequacy...

...based upon this representation. 1. FUZZY SETS The nucleus of fuzzy logic is the concept of a fuzzy set. Contrary to classical sets, fuzzy sets are not required...other objects. The membership in a fuzzy set is not matter of affirmation or denial, as it is in any classical set, but it is a matter of degree. Degree...

...set theory, in which sharp boundaries between sets are not required. That is, membership of an object in a fuzzy set is not a matter of affirmation or denial, but it is, in general, a matter of degree. Fuzzy measure theory [57], on the other hand, is an outgrowth...

...in "sand" will decrease in some way that depends on the application context. The basic idea is that the membership in a fuzzy set is not a matter of affirmation...it is in a classical set, but a matter of degree. 2However, for some usages "sand" is further subdivided into up to 20 "pigeon holes." The membership...

...probability theory is based: the Aristotelian two- valued logics. As opposed to the classical set theory, the membership in a fuzzy set is not a matter of affirmation or denial, but rather a matter of degree. When U is a fuzzy set and x is a relevant entity of a Universe of discourse,...