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

Subject Areas : International Journal of Smart Electrical Engineering

Jafar Tavoosi ¹ , Sajjad Rahmati ²

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

Received: 2017-04-03 Accepted : 2017-04-28 Published : 2016-09-01

Keywords: Stability Analysis, Fuzzy mathematics, Linguistic Fuzzy,

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.