In this paper an alternative approach to solve uncertain Stochastic Differential Equation (SDE) is proposed. This uncertainty occurs due to the involved parameters in system and these are considered as Triangular Fuzzy Numbers (TFN). Here the proposed fuzzy arithmetic in [2] is used as a tool to handle Fuzzy Stochastic Differential Equation (FSDE). In particular, a system of Ito stochastic diff...

Received Jan 9, 2018 Revised Mar 2, 2018 Accepted Mar 18, 2018 This paper gives an overview of Type-2 Fuzzy sets (T2FSs) and Type-2 fuzzy Logic system (T2FLS) considering one aviation scenario. The existing type-1 Fuzzy system has limited capability to handle the uncertainty directly. In order to overcome the limitations of Type-1 fuzzy Logic system (T1FLS), a next level of fuzzy set is introdu...

This paper presents the main features of XFL3, a new language for fuzzy system specification, which has been defined as the starting point for the 3.0 version of our fuzzy system design environment, Xfuzzy [1]. Its main advantages with respect to its precursor, XFL [2], are its capability to admit user-defined membership functions, parametric operators, and linguistic hedges. Taking this langua...

different methods have been proposed for finding the non-negative solution of fully fuzzy linear system (ffls) i.e. fuzzy linear system with fuzzy coefficients involving fuzzy variables. to the best of our knowledge, there is no method in the literature for finding the non-negative solution of a ffls without any restriction on the coefficient matrix. in this paper a new computational method is ...

This paper introduces a higher-order Takagi-SugenoKang (TSK) neuro-fuzzy inference system and its applications in medical decision support systems. Different from most TSK fuzzy systems that utilize first-order TSK type fuzzy rules, the proposed system is composed of higherorder TKS fuzzy rules that have functions in their consequent parts of the following type: y = b0 x1 b1 x2 ...xp . The type...

In this paper, we consider the problem of solving systems of fuzzy relation equations in a space with fuzzy preorder. Two types of these systems with different compositions are considered. New solvability criteria are proposed for systems of both types. The new criteria are weaker than all the known ones that are based on the assumption that fuzzy sets on the left-hand side of a system establis...

Abstract: This paper presents a fuzzy robust controller for the nonlinear systems with uncertain dynamics. The main idea of this method is that Type-2 fuzzy system estimates nonlinear and uncertain functions exist in the system equations and then the parameters of type-2 fuzzy system are tuned online by adaptive rules obtained from Lyapunov theory and finally, stability and convergence analysis...

Operations Research, OR, and Management Science, MS, methodologies attempt to aid "human decision-making" for the improvement of various performance indecies in operation and control of complex "humanistic systems". A historical review of Zadeh's papers and fuzzy system applications reveal that OR, and MS applications were started early in the development of fuzzy systems, even before the adven...

For theoretical fuzzy control it is a well known strategy to transform a system of control rules into a system of relation equations. Because these systems of relation equations are not always solvable, solvability criteria and approximate solutions have been discussed. We reconsider some of the results in this field and extend them using more recent results on t-norm based fuzzy logics and on ...