New class of sequences of fuzzy numbers defined by modulus function and generalized weighted mean

TL;DR

This paper introduces a new class of fuzzy number sequences using modulus functions and generalized weighted means, proving their structure as a quasilinear complete metric space and exploring their properties.

Contribution

It defines a novel class of fuzzy number sequences and establishes their mathematical properties and relations, extending previous work in the field.

Findings

The new class forms a quasilinear complete metric space.

Inclusion relations among classes are established.

Properties like solidness and symmetry are investigated.

Abstract

In this paper, We have introduced a new class of sequences of fuzzy numbers defined by using modulus function and generalized weighted mean over the class defined in \cite{OS}. We have proved that this class form a quasilinear complete metric space under a suitable metric. Various inclusion relations and some properties such as solidness, symmetry are investigated.