Assessing the Quality of Fuzzy Partitions Using Relative Intersection

Tsallis Entropy and Conditional Tsallis Entropy of Fuzzy Partitions

The purpose of this study is to define the concepts of Tsallis entropy and conditional Tsallis entropy of fuzzy partitions and to obtain some results concerning this kind entropy. We show that the Tsallis entropy of fuzzy partitions has the subadditivity and concavity properties. We study this information measure under the refinement and zero mode subset relations. We check the chain rules for ...

An Optimal Dynamic Control Method for an Isolated Intersection Using Fuzzy Systems

Traffic flow systems are nonlinear and uncertain, so it is very difficult to find their optimal points. In traditional traffic control systems, the traffic lights of crossings change in a fixed time period that is not optimal. On the other hand, most proposed systems are sufficiently capable of coping with the uncertainties of traffic flow. To solve this problem, there is a need to develop expe...

Extension of Krull's intersection theorem for fuzzy module

‎In this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules.  It shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept $mu$-adic comp...

A local approach to the entropy of countable fuzzy partitions

This paper denes and investigates the ergodic proper-ties of the entropy of a countable partition of a fuzzy dynamical sys-tem at different points of the state space. It ultimately introducesthe local fuzzy entropy of a fuzzy dynamical system and proves itto be an isomorphism invariant.

Differential transformation method for solving fuzzy differential inclusions by fuzzy partitions