The aim of this chapter is to revisit an experiment of Kahneman and Tversky (1992) to arrive at conclusions about Prospect theory and the ways of human thinking, but using a fuzzy approach, especially the compensatory one. New results shall be proved and others well-known shall be changed or confirmed. The study comprises the examination of logical predicates like those expressed by the followi...

This paper deals with some dependencies between fuzzy conjunctions and fuzzy implications. More precisely, a fuzzy implication generated from a fuzzy conjunction and a fuzzy conjunction induced by a fuzzy implication is considered. In the case of a fuzzy conjunction only border conditions and monotonicity are assumed. The results are illustrated by examples of weak fuzzy connectives.

At AAAI'93, Elkan has claimed to have a result trivializing fuzzy logic. This trivialization is based on too strong a view of equivalence in fuzzy logic and relates to a fully compositional treatment of uncertainty. Such a treatment is shown to be impossible in this paper. We emphasize the distinction between i) degrees of partial truth which are allowed to be truth functional and which pertain...

A special algebra called EQ-algebra has been recently introduced by Vilém Novák. Its original motivation comes from fuzzy type theory, in which the main connective is fuzzy equality. EQ-algebras have three binary operations meet, multiplication, fuzzy equality and a unit element. They open the door to an alternative development of fuzzy (manyvalued) logic with the basic connective being fuzzy e...

This paper discusses the issues of action aggregation and defuzziŽ cation in Mamdani-type fuzzy systems. The paper highlights the shortcomings of defuzziŽ cation techniques associated with the customary interpretation of the sentence connective ‘and ’ by means of the set union operation. These include loss of smoothness of the output characteristic and inaccurate mapping of the fuzzy response. ...

This paper discusses the issues of action aggregation and defuzziŽ cation in Mamdani-type fuzzy systems. The paper highlights the shortcomings of defuzziŽ cation techniques associated with the customary interpretation of the sentence connective ‘and ’ by means of the set union operation. These include loss of smoothness of the output characteristic and inaccurate mapping of the fuzzy response. ...

This is an investigation of weakening-free fuzzy logics expanded by the delta connective D; which can be interpreted by Baaz’s projection and its generalizations. First, logical systems obtained from weakeningfree uninorm (based) logics by adding D to be interpreted by the Baaz projection are introduced. Next, expansions of the weakening-free uninorm logics with D to be interpreted by its gener...

The concept of a bipolar query is studied in the framework of the flexible fuzzy querying of databases. The focus is on the aggregation of the negative and positive conditions forming a bipolar query. Three formal logical representations of such an aggregation are proposed and analyzed taking into account various possible interpretations of fuzzy logical connectives. The relation to other appro...

(c) A multivalued logz'c in which truth values are in the interval (O, 1 J and the valuation of a disjunction is the maximum of the disjuncts, whilst that of a conjunction zs the minimum of the conjuncts. This narrow definition encompasses the population stereotype of a 'fuzzy logic' [4-9]. It is interesting that most infinitely-v~ued MVLs [13] have min/max connectives for conjunction/disjuncti...

1 INTRODUCTION The use of fuzzy signal controllers has been proven to be quite effective. Their performance in comparison with traditional pretimed or vehicle-actuated control modes has been assessed by different authors (Niittymäki and Nevala, 2001). In all cases, the fuzzy logic controllers provide better traffic operation according to the usually adopted measures of traffic performance such ...