4 مقاله بیس پیشنهادی منطق فازی سال 2018 - دانلود رایگان
دانلود رایگان 4 مقاله بیس پیشنهادی منطق فازی سال 2018
دانلود رایگان
| 4 مقاله بیس پیشنهادی منطق فازی سال 2018
1 . Granular fuzzy rough sets based on fuzzy implicators and coimplicators This paper introduces granular fuzzy rough sets in the view of fuzzy implicators and fuzzy coimplicators, and discusses the constructive and axiomatic approach to fuzzy granules based on fuzzy implicators and coimplicators. Moreover, we study the connection between fuzzy granules and fuzzy relations and discuss the relationship between existing granular fuzzy rough set models and that proposed in this paper. Considering the absolute error limit, we introduce the concept of the granular variable precision fuzzy rough sets based on fuzzy implicators and coimplicators. Then we present four propositions to ensure that the approximation operators can be efficiently calculated. 2. On the fuzzy Poisson equation The fuzzy-valued vector function is defined and then divergence, Laplace, and gradient operators are defined for fuzzy-valued vector functions and fuzzy-valued functions. Moreover, a fuzzy Riemann line integral and its fundamental theorem are introduced. To complete our discussion, fuzzy Greens, fuzzy divergence, and fuzzy Greens identity theorems are proved. In detail, a fuzzy Poisson equation is considered by discussion of fuzzy maximum and minimum principles. Also, the uniqueness and stability of the solution of a fuzzy Poisson equation are investigated as theorems. Finally, for more illustration, some examples are solved. 3. Conditional fuzzy entropy of fuzzy dynamical systems Entropy of fuzzy dynamical systems has been investigated as an isomorphism invariant in Dumitrescu (1995) [13] . In this paper, we will introduce a new invariant called the conditional fuzzy entropy of fuzzy dynamical systems with respect to a finite fuzzy partition and an invariant sub- σ -algebra, which is an extension of fuzzy entropy on fuzzy dynamical systems. This new invariant possesses some basic properties, such as power rule, fuzzy version of Abramov–Rokhlin entropy additive formula and generating sequence. 4. A new trapezoidal fuzzy linear programming method considering the acceptance degree of fuzzy constraints violated The fuzzy linear program has various applications in knapsack problem, investment problem, capital budgeting problem, and transportation problem, etc. Considering the acceptance degree of decision maker that the fuzzy constraints may be violated, this paper develops a new method for the fuzzy linear program in which all the objective coefficients, technological coefficients and resources are trapezoidal fuzzy numbers (TrFNs). The order relationship for TrFNs is firstly given by using the interval expectation of TrFNs. According to the order relationship of TrFNs, the trapezoidal fuzzy linear program is transformed into the interval objective program. Combined with the ranking order relation between intervals and the acceptance degree of fuzzy constraints violated, the interval objective program is further transformed into the bi-objective linear program which is solved by the proposed goal programming approach. The proposed method of this paper is not only mathematically rigorous, but also can sufficiently consider the acceptance degree of the fuzzy constraints violated. The effectiveness and superiority of the proposed method are verified with a fuzzy knapsack problem and an investment problem. Finally, a decision support system is developed for the proposed method. دریافت فایل جهت کپی مطلب از ctrl+A استفاده نمایید نماید |