It is proved that there is no structure of left (right) cancelative semigroup on [L]-dimensional universal space for the class of separable compact spaces of extensional dimension ≤ [L]. Besides, we note that the homeomorphism group of [L]-dimensional space whose nonempty open sets are universal for the class of separable compact spaces of extensional dimension ≤ [L] is totally disconnected.

seismic hazard assessment like many other issues in seismology is a complicated problem, which is due to variety of parameters affecting the occurrence of earthquake. uncertainty, which is a result of vagueness and incompleteness of the data, should be considered in a rationale way. herein, fuzzy set theory is used to take into account the uncertainty existed in the seismic hazard analysis. the...

We show how a well-known superposition-based inference system for first-order equational logic can be used almost directly for deciding satisfiability in various theories including lists, encryption, extensional arrays, extensional finite sets, and combinations of them. We also give a superposition-based decision procedure for homomorphism. 2003 Elsevier Science (USA). All rights reserved.

The aim of this paper is to introduce monadic L-fuzzy quantifiers of the type 〈1, 1〉 and to investigate some of their semantic properties that are well-known in the generalized quantifier theory. Further, some relations between the semantic properties of generalized quantifiers are also studied for monadic L-fuzzy quantifiers. Finally, a property “to be extensional w.r.t. a given L-permutation ...

in 1997, fang proposed the concept of boundedness of $l$-fuzzy setsin $l$-topological vector spaces. since then, this concept has beenwidely accepted and adopted in the literature. in this paper,several characterizations of bounded $l$-fuzzy sets in$l$-topological vector spaces are obtained and some properties ofbounded $l$-fuzzy sets are investigated.

Microscopic simulation modelling has recently become attractive to researchers in traffic engineering as it appears to offer a cost effective and ‘safe’ way of investigating Intelligent Vehicle-Highway System (IVHS) at a fundamental level. However, the deterministic approach used assumes a consistency of behaviour which may severely detract from model validity. This may be overcome by using a ‘...

Shortest Path Problem where the time/cost have vague value is one of the most studied problems in Fuzzy sets and systems area. Thus numerous articles have focused on the Fuzzy Shortest Path Problem (FSPP) in a network. This paper, presents the fuzzy shortest length heuristic procedure if the length of the path in the network is trapezoidal fuzzy set where the highest similarity degree is utiliz...