NOTE ON THE DIOPHANTINE EQUATION

NOTE ON THE DIOPHANTINE EQUATION

ON SOME OF THE SMARANDACHE'S PROBLEMS

The bigger part of the problems discussed in the present book (22 in number) are related to different sequences. For each of them the form of the n-th member is determined and for all of them except 4 problems - the form of the n-th partial sum. Four of the problems are proved; modifications of two of the problems are formulated; counterexamples to two of the problems are constructed

New Topological Operator over Intuitionistic Fuzzy Sets

Intuitionistic fuzzy sets (IFSs) are one of the fuzzy set extensions. Over them, a lot of operations, relations, and operators are introduced. A part of the operators defined over IFSs are topological ones. In this paper, a new topological operator is defined, some of its properties are studied, and some open problems related to it are given

On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators. Part 2.

On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators. Part 2

An application of the theory of intutionistic fuzzy multigraphs

In a recent paper by one of the authors it has been shown that there is a relationship between algebraic structures and labeled transition systems. Indeed, it has been shown that an algebraic structures can be viewed as labeled transition systems, which can also be viewed as multigraphs. In this paper, we extend this work by providing an estimation of the transition possibilities between vertices that are connected with multiarcs

On the incorporation of interval-valued fuzzy sets into the Bousi-Prolog system: declarative semantics, implementation and applications

In this paper we analyse the benefits of incorporating interval-valued fuzzy sets into the Bousi-Prolog system. A syntax, declarative semantics and im- plementation for this extension is presented and formalised. We show, by using potential applications, that fuzzy logic programming frameworks enhanced with them can correctly work together with lexical resources and ontologies in order to improve their capabilities for knowledge representation and reasoning