Connectivity and the L-fuzzy unit interval

An overview of fuzzy logic connectives on the unit interval

The aim of this short paper is to give a simple look to the historical development of logical connectives for fuzzy sets and fuzzy logic. Concepts that have been (and still are) in the core of extensive theoretical research, like conjunction, disjunction, complement, subsethood and fuzzy conditionals, are considered in an informal way. An extensive list of essential references helps the interes...

A characterization of spaces l - equivalent to the unit interval ✩

Two topological spaces X and Y are said to be l-equivalent if there is a linear homeomorphism between Cp(X) and Cp(Y ), the spaces of continuous functions on X and Y endowed with the pointwise convergence topology. We prove a necessary condition on a topological space to be lequivalent to the n-dimensional cube. This, in particular, combined with a recent result of R. Górak, characterizes the t...

Interval-Valued Fuzzy Propositions. An Application to the L-Fuzzy Contexts with Absent Values

In order to obtain the information from an L-Fuzzy context, the complete relation between the objects and the attributes is needed. However, the contexts that model many situations have absent values. To solve this problem, at the beginning of the paper we remind the interval-valued linguistic variable definition and, later, we propose an extension of the fuzzy propositions to the interval-valu...

M1 internship report: problems on interval graphs L(2,1)-labelling Almost-mixed unit interval graphs

Incidence cuts and connectivity in fuzzy incidence graphs

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edgerelationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpectedflow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,node connectivity and arc connectivity in fuzzy inci...