The efficient use of the Ordered Weighted Averaging (OWA) operator in decision making problems depends on the choice of the order weights. Using fuzzy quantifiers is one of the most popular methods to obtain them. In this study, a new method will be introduced for determining the order weights from the quantifiers, which is especially useful in the case of unimodal quantifiers. The new method i...

An issue that is of considerable interest in distributed systems is the selection of a solution acceptable to a collection agents when each agent has their own preferences among a set of alternative possible solutions. Recently Rosenchein and Zlotkin [1] have presented a comprehensive work discussing this issue. The process of finding such a solution can be seen as a kind of negotiation amongst...

Andness directed aggregation is about selecting aggregators from a desired andness level. In this paper we consider operators of the OWA and WOWA families: functions that permit us to represent some degree compensation input values. addition compensation, permits importance (weights) Selection appropriate parameters given an level will be based on families fuzzy quantifiers.

Many financial decisions involve a need to satisfy multiple criteria (goals). This situation becomes particularly apparent in problems of investment allocation where we are faced with the problem of selecting from a collection of alternative investment packages one that meets our subjective goals such as growth, security and a reasonable return on investment. Another closely related problem, on...

A propositional proof system is weakly automatizable if there is a polynomial time algorithm that separates satisfiable formulas from formulas that have a short refutation in the system, with respect to a given length bound. We show that if the resolution proof system is weakly automatizable, then parity games can be decided in polynomial time. We give simple proofs that the same holds for dept...

The well known Aristotelian syllogistic system consists of 256 moods. We have found earlier that 136 moods are distinct in terms of equal truth ratios that range in τ=[0,1]. The truth ratio of a particular mood is calculated by relating the number of true and false syllogistic cases the mood matches. A mood with truth ratio is a fuzzy-syllogistic mood. The introduction of (n-1) fuzzy existentia...

This framework allows the description of previous probabilistic models and also the defhtion of new ones, all of them endowed with a semantic interpretation based on a "voter's profile". The methods within the framework fulfil a number of important and adequate properties of interest for fuzzy quantification and can also deal with very different types of quantifiers, as comparative and exceptio...

An issue in extending databases is to increase the expressiveness of query languages. Based on fuzzy set theory, flexible querying enables users to express preferences inside requirements. Quantifications and preferences on data have led us to define the notion of gradual integers (Nf). This framework has been extended to Zf and Qf, in order to dealing with queries based on difference or divisi...

This paper develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy interpretation. It is shown that all fundamental concepts of probability and statistics such as joint distribution, conditional distribution, etc., have meaningful ...