New Applications on Linguistic Mathematical Structures and Stability Analysis of Linguistic Fuzzy Models

Document Type: Research Paper

Authors

1 Assistant Prof., Young Researchers and Elite Club, Ilam Branch, Islamic Azad University, Ilam, Iran

2 Ilam Communication Center, Ilam, Iran.

Abstract

In this paper some algebraic structures for linguistic fuzzy models are defined for the first time. By definition linguistic fuzzy norm,
stability of these systems can be considered. Two methods (normed-based & graphical-based) for stability analysis of linguist fuzzy
systems will be presented. At the follow a new simple method for linguistic fuzzy numbers calculations is defined. At the end two
simple (stable and unstable) systems are modeled by linguistic fuzzy logic then stability of them by both methods are checked.
In this paper some algebraic structures for linguistic fuzzy models are defined for the first time. By definition linguistic fuzzy norm,
stability of these systems can be considered. Two methods (normed-based & graphical-based) for stability analysis of linguist fuzzy
systems will be presented. At the follow a new simple method for linguistic fuzzy numbers calculations is defined. At the end two
simple (stable and unstable) systems are modeled by linguistic fuzzy logic then stability of them by both methods are checked.

Keywords