This short paper presents the overview of an ongoing project which goal is to obtain and simulate the dynamics of qualitative systems through the combination of the properties of Fuzzy Boolean Networks and Fuzzy Rule Based Cognitive Maps.

This paper presents the overview of an ongoing project which goal is to obtain and simulate the dynamics of qualitative systems through the combination of the properties of Fuzzy Boolean Networks and Fuzzy Rule Based Cognitive Maps.

Fuzzy logic is an extension of the classical (Boolean) logic that can be used to handle mathematically the vagueness of human linguistics and thinking (Tanaka, 1996). In other words, it provides a logical system to formalize approximate reasoning (Zedeh, 1994; 1996). Actually, the foundation of fuzzy logic is the fuzzy set theory that was initially introduced by Zedeh (1965). However, currently...

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, inclusion is viewed as an Lfuzzy valued relation between fuzzy sets. This relation is reflexive, antisymmetric and transitive,...

Linear Programming problems with discrete 0-1 variables are of utmost importance in many fields as, e.g., those related to Artificial Intelligence, Operations Research and Management. The main aim of this paper is to present the Fuzzy Linear Boolean Programming problem with fuzzy costs and propose different approaches solving it. These approaches are based on methods for ranking fuzzy numbers, ...

In this paper, the concept of (λ, μ)-hesitant fuzzy subalgebras is introduced in Boolean algebra. Some properties are discussed. Finally, we proved that intersection and direct product two also

Temporal ontologies contain events that are concepts and roles with references to temporal intervals. Therefore, a temporal ontology induces the interval ontology. We consider fuzzy interval ontologies written in a fuzzy Boolean extension of Allen’s interval logic. Syntactically, the extended logic ELA is the set of all Boolean combinations of propositional variables and sentences of Allen’s in...

I develop a new game-theoretic approach based, not on conventional Boolean two-valued logic, but instead on linguistic fuzzy logic which admits linguistic truth values. A linguistic fuzzy game is defined with linguistic fuzzy strategies, linguistic fuzzy preferences, and the rules of reasoning and inferences of the game operate according to linguistic fuzzy logic, not Boolean logic. This leads ...