Fuzzy-trace theory has been developed by Brainerd and Reyna (1998, this issue) to explain a variety of findings. Here we explore the way that fuzzy-trace theory handles three phenomena concerning the creation and maintenance of false memories. We show that fuzzy-trace theory can account for seemingly paradoxical findings, thus providing theoretical clarity that has heretofore been lacking in th...

In this paper, we consider a fundamental theoretical question: Is it always possible to design a fuzzy system capable of approximating any real continuous function on a compact set with arbitrary accuracy? Moreover, we research whether the answer to the above question is positive when we restrict to a fixed (but arbitrary) type of fuzzy reasoning and to a subclass of fuzzy relations. This resul...

A word u ∈ A+ is an expletive for a fuzzy language λ if λ(xuy) = λ(xy) for all x, y ∈ A+. A full expletive fuzzy language is a fuzzy language in which the set of expletives is A+. Here we prove that the set of full expletive fuzzy languages is a variety and the associated pseudovariety of semigroups is that of midunit semigroups. Subject Classification: 20M35, 20M07, 68Q45

This paper argues that fuzzy representations are appropriate in applications where there are major sources of imprecision and/or uncertainty. Case studies of fuzzy approaches to specific problems of medical diagnosis and classification are described in support of this argument. The case studies are in the areas of categorical consistency, diagnostic monitoring and scoring. The solutions use a v...

Product planning is one of four important processes in new product development (NPD) using quality function deployment (QFD), which is a widely used customer-driven approach. In our opinion, the first problem to be solved is how to incorporate both qualitative and quantitative information regarding relationships between customer requirements (CRs) and engineering characteristics (ECs) as well a...

In the early 1970s, fuzzy systems and fuzzy control theories added a new dimension to control systems engineering. From its beginnings as mostly heuristic and somewhat ad hoc, more recent and rigorous approaches to fuzzy control theory have helped make it an integral part of modern control theory an... Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and...

Quadratic programming can be seen both as a general approach to linear programming and a special class of nonlinear programming. Moreover, Quadratic Programming problems are of utmost importance in a variety of relevant practical fields, such as, portfolio selection. This work presents and develops a novel fuzzy-sets-based method that solves a class of quadratic programming problems with vaguen...

The objective of the present paper is to describe a pattern recognition approach for image segmentation using fuzzy clustering. Soft computing techniques have found wide applications. One of the most important applications is edge detection for image segmentation. Clustering analysis is one of the major techniques in pattern recognition. These fuzzy clustering algorithms have been widely studie...

Type-2 fuzzy sets let us model and minimize the effects of uncertainties in rule-base fuzzy logic systems. However, they are difficult to understand for a variety of reasons which we enunciate. In this paper, we strive to overcome the difficulties by: 1) establishing a small set of terms that let us easily communicate about type-2 fuzzy sets and also let us define such sets very precisely, 2) p...