Let α1 be a formula from N5 logic, and let α2 be the formula that is obtained from α1 by replacing conjunction, disjunction and implication by respectively a t-norm ⊗, a t-conorm ⊕ and an implicator →. Noting that V − 2 (w, a) ∈ {0, 1} and V + 2 (w, a) ∈ {0, 1} for all a ∈ At and w ∈ {h, t}, it follows easily from the definitions (17)–(23) that V1(w,α1) = 1 iff V2(w,α2) = [1, 1], V1(w,α1) = 1 i...

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...

Using the strength of a single-valued neutrosophic set (SVNS) with flexibility hesitant fuzzy (HFS) yields robust model named (SVNHFS). Due to ability utilize three independent indexes (truthness, indeterminacy, and falsity), an SVNHFS is efficient for optimization computational intelligence (CI) as well intelligent decision support system (IDSS). Taking advantage operational parameters in Domb...

A way of incorporating the concepls of fU2.ZY sets into layered neural networks has been described. The inpul can be provided to quanlitative or linguistic fOnTIS while Ihe outpUI may be modeled as membership values. Logical operators, viz., I-norm T and r-conorm S involving And and Or neurons. are employed al the neuronal level, and the conventional back propagarion algorilhm is accordingly mo...

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...

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...

In this study, we present a continuous-valued logical approach to generalize the sigmoid function. Our starting point is kappa function, which known as unary operator in logic. First extend function (a,b) interval, and then interpret generalized limit of extended when b tend negative positive infinity, respectively. Since induced by an additive generator strict t-norm or t-conorm, dependent. Ba...

Fuzzy classification rules allow the definition of readable and interpretable rule bases. Nevertheless, the shape of the resulting class borders of fuzzy classification rules depends to a great part on the used tnorm and t-conorm and can sometimes even be counter-intuitive. In this paper we discuss the shape of class borders between overlapping rules under consideration of different t-norms and...

A generalization of bags is proposed and fundamental operations are described. That is, a real-valued bag is proposed which is a straightforward generalization of the traditional bags, but is necessary for complementation, and s-norm and t-norm operations. We mainly describe how complementation and s-norms are related. As a result a duality theorem between s-norm and t-norm is obtained. R-bag r...