This chapter presents a new approach for solving the paradoxical Blackman’s association problem. It utilizes a new class of fusion rules based on fuzzy T-conorm/T-norm operators together with Dezert-Smarandache theory and the relative variations of generalized pignistic probabilities measure of correct associations defined from a partial ordering function of hyper-power set. The ability of this...

Fuzzy Hamming Distance is successfully used in a Content-Based Image Retrieval (CBIR) system as a similarity measure. The system performs a m × n partitioning of the compared images and for each partitions pairs evaluates FHD. In the last step the FHD are defuzzified and the results are combined in a final score. In order to take full advantage of the use of fuzzy sets, the current study invest...

The paper deals with binary operations in the unit interval. We investigate connections between families of triangular norms, triangular conorms, uninorms and some decreasing functions. It is well known, that every uninorm is build by using some triangular norm and some triangular conorm. If we assume, that uninorm fulfils additional assumptions, then this triangular norm and this triangular co...

In this work we deal with the problem of using OWA operators in color image reduction algorithms. For this reason, we study OWA operators defined on an arbitrary finite lattice endowed with a t-norm and a t-conorm. In the case of RGB color images, we apply OWA operators defined on a finite product lattice. Depending on the OWA operator considered, we see that the reduced images become brighter ...

The paper introduces a propositional linguistic logic that serves as the basis for automated uncertain reasoning with linguistic information. First, we build a linguistic logic system with truth value domain based on a linear symmetrical hedge algebra. Then, we consider Gödel’s t-norm and t-conorm to define the logical connectives for our logic. Next, we present a resolution inference rule, in ...

This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corr...

A new combination rule based on specified fuzzy T-Conorm/T-Norm operators is proposed and analyzed in this article the TCN Rule of Combination. The rule does not belong to the general Weighted Operator Class. The advantages of the new rule could be defined as: very easy to implement, satisfying the impact of neutrality of Vacuous Belief Assignment, commutative, convergent to idempotence, reflec...

This paper presents a real-time full-programmable fuzzy compiler based on piecewise linear interpolation techniques designed to be executed in SIMD (Single Instruction Multiple Data) architectures. A fullprogrammable fuzzy processor is defined as a system where the set of rules, the membership functions, the t-norm, the t-conorm, the aggregation operator, the propagation operator, and the defuz...

In this paper we present a fuzzy version of SHOIN (D), the corresponding Description Logic of the ontology description language OWL DL. We show that the representation and reasoning capabilities of fuzzy SHOIN (D) go clearly beyond classical SHOIN (D). Interesting features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets...

In this paper, we develop some new operational laws and their corresponding aggregation operators for picture fuzzy sets ( PFSs ). PFS is a powerful tool to deal with vagueness, which generalization of set intuitionistic (IFS). can model uncertainty in such situations, consist more than two answers like yes, refusal, neutral, no. The operations t-norm t- conorms , developed by Frank, are usuall...