This report treats the relation between substructural logics and fuzzy logics, especially focuses on the noncommutativity of conjunctive operators i.e. substructural logics without the exchange rule. As the results, the authors show that fuzzy logics based on the left continuous pseudo-t-norms are the extensions of FLw. Also, we introduce the definition of pseudouninorms and give some methods t...

In this paper, we have dealt with the concept of fuzzy b-closed and fuzzy bcompact set, and we study the characterization of fuzzy b-compact set by using fuzzy filterbases. We consider some relations between the fuzzy b-compact space and fuzzy b-closed space. Finally, the concept of bounded and semi bounded operators between fuzzy normed space are studied and some immediate results are also pro...

Fuzzy logic is now a wide field of study and different tools have been developed over the last 10 years. Its implementation in food quality control for the food industry has been highlighted by several authors that have focused on different applications designed specifically for this task. This is especially true in the case of taking into account the reasoning process, expressed in linguistic ...

The purpose of this paper is to study a fuzzy multipurpose decision making problem, where the information about the alternatives provided by the experts can be of a diverse nature. The information can be represented by means of preference orderings, utility functions and fuzzy preference relations, and our objective is to establish a general model which cover all possible representations. First...

This paper provides a detailed analysis of fuzzy point, fuzzy line segment, fuzzy distance and the angle between two fuzzy line segments. Two new concepts, same points and inverse points, are defined for this analysis. The basic properties of fuzzy distance, ideas about the containment of a fuzzy point on a fuzzy line segment and the coincidence of two fuzzy points are also described. A linear ...

The security of any transportation infrastructure can be defined as a combination of threat likelihood, infrastructure resilience, and consequence. In view of their inherently dynamic and highly unpredictable nature, threat likelihood and consequence data is difficult to determine with certainty. Due to this problem, this paper presents a new fuzzy methodology to qualitatively determine the ove...

In this paper we introduce the notions of fuzzy subalgebras and d-ideals in d-algebras, and investigate some of their results.

In this work, we propose a pseudometric based on a fuzzy relation, which is itself derived from a fuzzy partition. This pseudometric is a metric in the particular case in which the fuzzy partition is composed solely by triangular fuzzy sets. We prove that these functions are indeed a pseudometric and a metric and illustrate their use in an experiment for the classification of land use in an are...

In Part I of this paper, fuzzy modeling showed its potential to describe the behavior of the electro-hydraulic system. To verify the possibilities of its application for the system’s learning control, two inverse-model compensation schemes were implemented. This paper describes and discusses the experimental results obtained, showing the feasibility and effectiveness of the learning controllers...