The flexibility and adaptability of Fuzzy Logic are convenient qualities to Decision Making. Its capacity to elaborate linguistic models could be very useful to solve real problems getting a better communication with Decision Makers and Experts. Many revealing studies has been accomplished on Multi-valued Logics, including the explorations of a variety of operators; however, the real possibilit...

This paper presents a real-time fullprogrammable fuzzy processor using piecewiselinear intelpolation techniques and implements it using the SSE (Streaming SIMD Extensions) set of instructions of an Intel Pentium III. A fullprogrammable fuzzy processor is defined as a system where the set of rules, the membership finctions, the t-norm, the t-conorm, the aggregation operator, the propagation oper...

In this paper we show that the context model proposed by Gebhardt and Kruse (1993) can be semantically extended and considered as a data model for constructing membership functions of fuzzy concepts within the framework of meta-theory developed by Resconi et al. in 1990s. Within this framework, we integrate context models by using a model of modal logic, and develop a method for calculating the...

This paper presents a method to construct an interval-valued fuzzy set from a fuzzy set and the representation of the lack of knowledge or ignorance that experts are subject to when they define the membership values of the elements to that fuzzy set. With this construction method, it is proved that membership intervals of equal length to the ignorance associated to the elements are obtained whe...

The main ‘philosophical’ outcome of this article is to demonstrate that the structural description of residuated lattices requires the use of the co-residuated setting. A construction, called skew symmetrization, which generalizes the well-known representation of an ordered Abelian group obtained from the positive (or negative) cone of the algebra is introduced here. Its definition requires lea...

The theory of Schauder hats is a beautiful and powerful tool for investigating, under several respects, the algebraic semantics of Łukasiewicz infinite-valued logic [CDM99], [MMM07], [Mun94], [P95]. As a notably application of the theory, the elements of the free n-generated MV-algebra, that constitutes the algebraic semantics of the n-variate fragment of Łukasiewicz logic, are obtained as (t-c...

When we perform algebraic operations on membership degrees, we must be sure that they are compatible with the kind of scale on which these degrees are measured. For example, we will not add (in a weighted average) membership degrees that are measured on an ordinal scale. An important question is therefore how to determine on which kind of scale we measure the membership. There are several techn...

In this paper the behavior of three combinational rules for temporal/sequential attribute data fusion for target type estimation are analyzed. The comparative analysis is based on: Dempster’s fusion rule proposed in Dempster-Shafer Theory; Proportional Conflict Redistribution rule no. 5 (PCR5), proposed in Dezert-Smarandache Theory and one alternative class fusion rule, connecting the combinati...

The intuitionistic fuzzy soft set (IFSS) is a vital technique for tackling uncertainty while the collection of information with help membership function having values from unit interval. Moreover, Aczel-Alsina t-norm (AATNRM) and t-conorm (AATCRM) are most generalized flexible operational laws to operate which part intervals. purpose this article provide number aggregation operations (AOs) repr...