### فهرست مطالب

• Volume:2 Issue:1, 2005
• تاریخ انتشار: 1384/05/11
• تعداد عناوین: 6
|
• J. J. Buckley, K. D. Reilly, L. J. Jowers Page 1
In previous studies we first concentrated on utilizing crisp simulation to produce discrete event fuzzy systems simulations. Then we extended this research to the simulation of continuous fuzzy systems models. In this paper we continue our study of continuous fuzzy systems using crisp continuous simulation. Consider a crisp continuous system whose evolution depends on differential equations. Such a system contains a number of parameters that must be estimated. Usually point estimates are computed and used in the model. However these point estimates typically have uncertainty associated with them. We propose to incorporate uncertainty by using fuzzy numbers as estimates of these unknown parameters. Fuzzy parameters convert the crisp system into a fuzzy system. Trajectories describing the behavior of the system become fuzzy curves. We will employ crisp continuous simulation to estimate these fuzzy trajectories. Three examples are discussed.
• P. Isaac Page 19
The concept of free modules, projective modules, injective modules and the like form an important area in module theory. The notion of free fuzzy modules was introduced by Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameri introduced the concept of projective and injective L-modules. In this paper we give an alternate definition for projective L-modules. We prove that every free L-module is a projective L-module. Also we prove that if $\mu\in L(P)$ is a projective L-module, and if $0\rightarrow\eta\rightarrow\vartheta\rightarrow\mu\rightarrow 0$ is a short exact sequence of L-modules then $\nu\otimes\mu>\vartheta$. Further it is proved that if $\mu\in L(P)$ is a projective L-module then $\mu$ is a fuzzy direct summand of a free L-module.
• Shu, Ping Li, Zheng Fang, Jie Zhao Page 29
In this paper, a certain new connectedness of L-fuzzy subsets in L-topological spaces is introduced and studied by means of preclosed sets. It preserves some fundamental properties of connected set in general topology. Especially the famous K. Fan’s theorem holds.
• R. Ameri Page 37
In this note first we shall redefine the notion of a fuzzy hypervector space (see [1]) and then we introduce some further concepts of fuzzy hypervector spaces, such as convex fuzzy sets and balance fuzzy sets in fuzzy hypervector spaces over valued fields. Finally, we briefly discuss on convex (balanced) hull of a given fuzzy set of a hypervector space.