This paper presents fuzzy graph rewriting systems with fuzzy relational calculus. In this paper fuzzy graph means crisp set of vetices and fuzzy set of edges. We provide $\mathrm{f}\mathrm{u}\mathrm{z},7,\mathrm{y}$ relational calculus witll Heyting algebra. Formalizing rewriting system of fuzzy graphs it is important to $\mathrm{c}\cdot 1_{1\mathrm{t})\mathrm{t}}.\mathrm{q}\mathrm{C}1$ how to ...

We present a fuzzy version of the notion relational Galois connection between transitive directed graphs (fuzzy T-digraphs) on specific setting in which underlying algebra truth values is complete Heyting algebra. The components such are relations satisfying certain reasonable properties expressed terms so-called full powering. Moreover, we provide necessary and sufficient condition under it po...

LI, PINGKE. Fuzzy Relational Equations: Resolution and Optimization. (Under the direction of Professor Shu-Cherng Fang). Fuzzy relational equations play an important role as a platform in various applications of fuzzy sets and systems. The resolution and optimization of fuzzy relational equations are of our particular interests from both of the theoretical and applicational viewpoints. In this ...

An inductive approach for learning fuzzy relational rules is described. Fuzzy relational rules are rules in which fuzzy relations in the antecedent parts of the rules are allowed. These rules allow us to use an extended model of rule with a greather capability to represent knowledge in a similar human way, but with an additional complexity in the search process.

I. The need for comparative evaluation of performance of different systems of fuzzy connectives in soft computing applications This paper continues our work on developing new methods and tools for comparative assessment of the adequacy of diierent many-valued implication operators and other fuzzy connectives. To deal with the problem of selecting the optimal fuzzy logic connectives, new methods...

This paper presents an attempt to embed and unify research on intuitionistic fuzzy (IF) relations into a broad, formal yet intuitive framework inspired by fuzzy relational calculus. The need for the resulting “IF relational calculus” is motivated in semantical terms of vagueness and uncertainty; its basic definitions and results are introduced, and opportunities and challenges specific to intui...