On Some Manipulations with Fuzzy Processes

TL;DR

This paper investigates the complexity of manipulating fuzzy processes and proposes a divide-and-conquer approach, supported by new algebraic results, to manage the complexity effectively.

Contribution

It introduces a novel algebraic framework for manipulating fuzzy processes by dividing complex problems into manageable parts.

Findings

Complexity of fuzzy process manipulation increases rapidly with process size.

Divide-and-conquer approach effectively manages manipulation complexity.

New algebraic results facilitate separate treatment and combination of fuzzy process parts.

Abstract

The paper starts from the observation on the complexity of the manipulation of fuzzy processes that increases very rapidly with the extents of the processes representation. Therefore, a productive approach is to divide the problem into smaller parts, treated separately and then the results combined. Some algebraic results obtained by the authors are presented.