Two approaches to calculating distribution energy losses are developed in this paper. The first one is based on the fuzzy load flow, and the other one uses fuzzy clustering technique. The attention at the first approach is devoted to forming the fuzzy numbers that represent loads. Data accessible from the measurements in corresponding substations are considered in this process. Using formed fuz...

Abstract: In this paper we present an approach to organize Web-accessible courseware according to knowledge domains, by means of fuzzy clustering. A new modified version of the Fuzzy C-Means clustering algorithm that employs a non-Euclidean metric is proposed and some preliminary trials with the new metric are presented. The experimental results show that the modified algorithm performs better ...

By considering scalar theories on the fuzzy sphere as matrix models, we construct a renormalization scheme and calculate the one-loop effective action. Because of UVIR mixing, the twoand the four-point correlators at low energy are not slowly varying functions of external momenta. Interestingly, we also find that field theories on fuzzy RP2 avoid UV-IR mixing and hence are much more like conven...

(c) A multivalued logz'c in which truth values are in the interval (O, 1 J and the valuation of a disjunction is the maximum of the disjuncts, whilst that of a conjunction zs the minimum of the conjuncts. This narrow definition encompasses the population stereotype of a 'fuzzy logic' [4-9]. It is interesting that most infinitely-v~ued MVLs [13] have min/max connectives for conjunction/disjuncti...

For fuzzy mathematical models using general fuzzy sets rather than fuzzy numbers or fuzzy vectors, operations (addition and scalar multiplication) and orderings of fuzzy sets are needed, and the concept of fuzzy set-valued convex mappings is important. In the present paper, fundamental properties of operations, orderings, and fuzzy set-valued convex mappings for general fuzzy sets are investiga...