The purpose of present work is to study some algebraic aspect of fuzzy multiset regular languages. In between, we show the equivalence of multiset regular language and fuzzy multiset regular language. Finally, we introduce the concept of pumping lemma for fuzzy multiset regular languages, which we use to establish a necessary and sufficient condition for a fuzzy multiset language to be non-cons...

Much attention has been paid to a problem of classification of all Q-polynomial distance-regular graphs with large diameter [1] (for the definitions, we refer the reader to Section 2). One of the steps towards solution of this problem is a characterization of known distance-regular graphs by their intersection arrays. For the current status of the classification of the Q-polynomial distance-reg...

Let I,J be two ideals on N which contain the family Fin of finite sets. We provide necessary and sufficient conditions entries an infinite real matrix A=(an,k) maps I-convergent bounded sequences into J-convergent preserves corresponding ideal limits. The well-known characterization regular matrices due to Silverman–Toeplitz corresponds case I=J=Fin. Lastly, we some applications permutation dia...

In this paper, we introduce the notion of ($epsilon $, $epsilon $ $vee$ q_{k})− fuzzy subnear-ring which is a generalization of ($epsilon $, $epsilon $ $vee$ q)−fuzzy subnear-ring. We have given examples which are ($epsilon $, $epsilon $ $vee$ q_{k})−fuzzy ideals but they are not ($epsilon $, $epsilon $ $vee$ q)−fuzzy ideals. We have also introduced the notions of ($epsilon $, $epsilon $ $vee$ ...