Decomposition of Fuzzy Sets and Multilinearization for the Extension Principle
نویسندگان
چکیده
In this article we present a proposal for the descomposition of large uncertainties associated with a fuzzy set u and the multilinearization of a function f to be used in the approximation of the fuzzy set f̂(u) obtained by extension principle. Also, we present conditions on f assuring that f̂ preserves differentiability.
منابع مشابه
Pontryagin's Minimum Principle for Fuzzy Optimal Control Problems
The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.
متن کاملA model for the "Fuzzy TOPSIS" based on Zadde's extension principle
The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...
متن کاملUsing finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle
In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matr...
متن کاملGrade estimation of Zu2 Jajarm deposit by considering imprecise variogram model parameters based on the extension principle
Nowadays, kriging has been accepted as the most common method of grade estimation in mineral resource evaluation stage. Access to the crisp assay data and a variogram model are the necessary means for the utilization of this method. Since fitting a crisp variogram model is generally difficult, if not impossible, the fitted theoretical model is usually tainted with uncertainty due to various rea...
متن کاملTHE CHAIN PROPERTIES AND LI-YORKE SENSITIVITY OF ZADEH'S EXTENSION ON THE SPACE OF UPPER SEMI-CONTINUOUS FUZZY SETS
Some characterizations on the chain recurrence, chain transitivity, chain mixing property,shadowing and $h$-shadowing for Zadeh's extension are obtained. Besides, it is provedthat a dynamical system is spatiotemporally chaotic provided that the Zadeh's extensionis Li-Yorke sensitive.
متن کامل