-Based on the fuzzy set theory, this study introduces three novel three-phase fuzzy feeder models for fast distribution system calculations. These fuzzy models are formulated using three lumped individual phase loads to represent single-phase, three-phase unbalanced, and nonuniformly distributed loads along a feeder. The proposed voltage-drop and line-loss fuzzy models are developed to accurate...

Over the past few years, fuzzy set theory has become a well-established mathematical theory that has been applied in many practical applications. In this paper, we elaborate on the use of fuzzy sets in the context of music information retrieval. First, we demonstrate that music objects like artists and songs can straightforwardly be represented as fuzzy sets, and then we explain why it is benef...

In this paper fuzzy set theory has been applied to discrete event simulation to model uncertainty in input data. Various approaches to fuzzy simulation have been proposed in literature, even if many problems are still to be solved. The key points are how to manage the simulation event list and how to update the fuzzy simulation clock. These two tasks are mainly based on the ranking algorithm. I...

In the literature, The most mentioned issues about measuring poverty are its multi dimensionality and vagueness. Besides traditional approaches fuzzy approaches are widely employed. In this study fuzzy index of poverty (FIP) is calculated for Turkey based on approximately 25000 households. The indicators are disposable income, food expenditure, clothing and footwear expenditures and habitable a...

In three case studies on notions of fuzzy logic and fuzzy set theory (Dubois–Prade’s gradual elements, the entropy of a fuzzy set, and aggregation operators), the paper exemplifies methodological differences between traditional and deductive fuzzy logic. While traditional fuzzy logic admits various interpretations of membership degrees, deductive fuzzy logic always interprets them as degrees of...

During the last few years, many database researchers have aimed their efforts at extending the object-oriented model for dealing with different kinds of imperfect information. Some of these scholars have used the Fuzzy Set Theory to deal with imperfection because it has proved to be useful in problems where imprecision and uncertainty play important roles. This article describes an architecture...

In modelling applied problems only partial informations may be known (or) there may be a degree of uncertainty in the parameters used in the model or some measurements may be imprecise. Due to such features, we are tempted to consider the study of functional equations in the fuzzy settings. For the last 40 years, the fuzzy theory has become a very active area of research and a lot of developmen...

A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Any semigroup can be reduced to a ternary semigroup but a ternary semigroup does not necessarily reduce to a semigroup. The notion of fuzzy sets was introduced by Zadeh in 1965 and that of rough sets by Pawlak in 1982. Applications of the fuzzy set theory and rough set theory have been found in va...