Finding the collapse susceptible portion of a power system is one of the purposes of voltage stability analysis. This part which is a voltage control area is called the voltage weak area. Determining the weak area and adjecent voltage control areas has special importance in the improvement of voltage stability. Designing an on-line corrective control requires the voltage weak area to be determi...

Finding the collapse susceptible portion of a power system is one of the purposes of voltage stability analysis. This part which is a voltage control area is called the voltage weak area. Determining the weak area and adjecent voltage control areas has special importance in the improvement of voltage stability. Designing an on-line corrective control requires the voltage weak area to be determi...

In the setting of fuzzy choice functions (Georgescu [6]), we explore the relationships among known and new consistency axioms. Then we define the notion of sequential application of fuzzy choice functions, and investigate its normative implications. The Fuzzy Arrow Axiom is preserved by this sequential procedure, which ensures that full-rationality is preserved too.

This paper examines the connection between path independence and transitive rationalization of a choice function in a general domain where a choice function may not include all possible non-empty subsets of the universal set. Describing a sequential choice procedure, this paper shows that the requirement of path independence of a choice function is equivalent to Richter's Congruence Axiom and t...

Based on the axiom de nition of distance measure, some new formulas of fuzzy entropy induced by distance measure and some new properties of distance measure are given. A characterization of a -distance measure is a metric de ned on all fuzzy sets is obtained. c © 2001 Elsevier Science B.V. All rights reserved.

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. In this paper, we apply fuzzy soft sets to  hyperrings. The concept of ( , ) q       -fuzzy soft  -hyperideals of  -hyperrings is first introduced. Some new characterizations are investigated. In particular, a ...

In this paper, the concept of intuitionistic fuzzy congruence relation on a residuated lattice is introduced and its properties is studied. The relationship between intuitionistic fuzzy filters and intuitionistic fuzzy congruence relations on a residuated lattice is obtain. Then the intuitionistic fuzzy congruence relation corresponding to a given intuitionistic fuzzy filter on residuated latti...

The Archimedean axiom in fuzzy set theory is critically discussed. The axiom is brought into perspective within a measurement theoretic framework and then its validity for fuzzy set theory is questioned. The discussion sheds light into what type of vagueness fuzzy set theory models.

In this paper we introduce fuzzy congruence and fuzzy strong congruence of semi-hypergroups as well as polygroups. We obtain some results in this respect. We also prove that FC(H), the set of all fuzzy strong congruences on a polygroup H , consists a complete lattice and this lattice is isomorphic to FN (H), the lattice of fuzzy normal subpolygroups.

<abstract><p>Among the triangle congruence axioms, side-side-angle (SsA) axiom states that two triangles are congruent if and only pairs of corresponding sides angles opposite longer equal. We construct sequences in which items satisfy a modified condition. require shorter be The locus intersection points other is derived to hyperbola, generalized form defined by complete quadrilate...