The aim of this paper is to present the new and interesting notionof ascending family of  $alpha $−n-norms corresponding to an intuitionistic fuzzy nnormedlinear space. The notion of best aproximation sets in an  $alpha $−n-normedspace corresponding to an intuitionistic fuzzy n-normed linear space is alsodefined and several related results are obtained.

In this paper, a class of generalised best approximation problems is formulated in a fuzzy normed linear space.

The aim of this paper is to give the set of all t -best approximations on fuzzy n-normed spaces and prove some theorems in the sense of Vaezpour and Karimi [13].    

This paper proposes a new type fuzzy neural systems, denoted IT2RFNS-A interval type-2 recurrent fuzzy neural system with asymmetric membership function , for nonlinear systems identification and control. To enhance the performance and approximation ability, the triangular asymmetric fuzzy membership function AFMF and TSK-type consequent part are adopted for IT2RFNS-A. The gradient information ...

In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuz...