DSm Vector Spaces of Refined Labels

TL;DR

This paper introduces DSm vector spaces of refined labels, representing them geometrically and algebraically, and explores related structures and research problems in the context of DSm theory.

Contribution

It presents the concept of DSm vector spaces of refined labels, their geometric realization, and algebraic structures, expanding the theoretical framework of DSm theory.

Findings

Refined labels realized as a plane and n-dimensional space

Definition of algebraic structures using refined labels

Introduction of DSm semivector space and research problems

Abstract

In this book the authors introduce the notion of DSm vector spaces of refined labels. They also realize the refined labels as a plane and a n-dimensional space. Further, using these refined labels, several algebraic structures are defined. Finally DSm semivector space or refined labels is described. Authors also propose some research problems.