a new multi-stage fuzzy (msf) controller based on multi-objective harmony search algorithm (mohsa) is proposed in this paper to solve the load frequency control (lfc) problem of power systems in deregulated environment. lfc problem are caused by load perturbations, which continuously disturb the normal operation of power system. the objectives of lfc are to mini small size the transient deviati...

In this article we introduce and investigate the notion of ∆(r)-null, ∆(r)-convergent and ∆(r)-bounded sequences of fuzzy numbers which generalize the notion of null, convergent and bounded sequence of fuzzy numbers. 2000 Mathematics Subject Classification: 40A05, 40D25.

The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,ast)$ is a fuzzy metri...

An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [25], Kostyrko et. al introduced the concept of ideal convergence as a sequence (xk) of real numbers is said to be I-convergent to a real number `, if for each ε > 0 the set {k ∈ N : |xk − `| ≥ ε} belongs to I. In this article we introduce the concept of ideal conv...

This paper presents a fuzzy controller (FC)based single-ended primary-inductor converter (SEPIC) for maximum power point tracking (MPPT) operation of a photovoltaic (PV) system along with battery. The FLC proposed scheme uses the convergent distribution of the membership function. The fuzzy controller for the SEPIC MPPT scheme shows the voltage without any changes in different load conditions a...

In this paper the concepts of somewhat fuzzy δ-continuous functions, somewhat fuzzy δ-open functions between fuzzy topological spaces are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are studied. The concepts of fuzzy δ-resolvable spaces and fuzzy δ-irresolvable spaces are also introduced and studied in this paper...

We discuss some optimization problems for fuzzy variable functions and show two interesting results. First result is related to conditions for existence of global optimal solutions for some general class of optimization problems on E, the space of compacts, upper semicontinuous and normal fuzzy sets of R. The second result is about preservation of local optimality points, via Zadeh’s principle ...

In the present work the space  $L_{p;r} $ which is continuously embedded into $L_{p} $  is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied. The analogs of some results in the classical theory of Hardy spaces are proved for the new spaces. It is shown that the Cauchy singular integral operator is...

Fuzzy set theory has entered into a large variety of disciplines of sciences,technology and humanities having established itself as an extremely versatileinterdisciplinary research area. Accordingly different notions of fuzzystructure have been developed such as fuzzy normed linear space, fuzzytopological vector space, fuzzy sequence space etc. While reviewing theliterature in fuzzy sequence sp...