Finding edges in digital images is a very basic and important task. This paper describes a new technique to address this problem. The proposed technique tries to solve two of the main difficulties that edge finding algorithms must face: uncertainty due to noise artifacts and combination of details detected at different scales. In particular we adapt a fuzzy arithmetic approach called “Fuzzy Mar...

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...

In this paper we discussed some nonlinear arithmetic operation on generalized triangular intuitionistic fuzzy numbers. Some examples and an application are given.

In general fuzzy sets are used to analyze the fuzzy system reliability. Here intuitionistic fuzzy set theory for analyzing the fuzzy system reliability has been used. To analyze the fuzzy system reliability, the reliability of each component of the system as a triangular intuitionistic fuzzy number is considered. Triangular intuitionistic fuzzy number and their arithmetic operations are introdu...

In this paper, we present a fuzzy logic integration to the Hidden Markov Models (HMM). We have replaced the basic arithmetic operators by some adequate k z y operators. Using fuzzy operators permits us to relax the additivity constraint of probability measures. So we will need only the monotonicity with respect to set inclusion. Some results show the interest of our approach.

Fuzzy multiple criteria decision making (FMCDM) problem is an important issue in the field of decision making. Traditional weighted method is on the basis of disputed arithmetic operation and comparison operation on fuzzy numbers, the accuracy of decision is doubtful. In this paper, a new method is proposed to solve the FMCDM problem based on the generalized fuzzy numbers and power average oper...

This study is to propose a new approach for medical diagnosis using the distance between interval-valued intuitionistic fuzzy sets. For this purpose, we developed an interview chart with interval fuzzy degrees based on the relation between symptoms and diseases (three types of headache), and utilized the interval-valued intuitionistic fuzzy weighted arithmetic average operator to aggregate fuzz...

In this paper, we simulate different types of random fuzzy variables to get some conclusions concerning fuzzy-valued random variables. This simulation has been carried out to illustrate certain limit results formalizing the convergence of the arithmetic mean of sample fuzzy data to the population mean (or expected value of the random fuzzy variable), like the well-known strong law of large numb...

8 This article investigates the consistency of interval fuzzy preference relations based on interval 9 arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent 10 and weakly transitive interval fuzzy preference relations. Transformation functions are put 11 forward to convert normalized interval weights into consistent interval fuzzy preference relations...

Soft set theory is a newly emerging mathematical tool to deal with uncertain problems. The Parameterization tools of soft set theory enhance the flexibility of its applications to different problems. In this paper, we apply fuzzy soft set technology through the well known Sanchez’s approach for Medical Diagnosis using arithmetic operations on Trapezoidal fuzzy numbers and exhibit the technique ...