We study the problem: if ãi, i ∈ N are fuzzy numbers of triangular form, then what is the membership function of the infinite (or finite) sum ã1+ã2+· · · (defined via the sup-product-norm convolution)?

The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov’s intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. There are various averaging operators defined for IVIFSs. These operators are not monotone with respec...

ne of the greatest challenges for software developers is forecasting the development effort for a software system for the last decades. The capability to provide a good estimation on software development efforts is necessitated by the project managers. Software effort estimation models divided into two main categories: algorithmic and non-algorithmic. Developers should be able to achieve practi...

-A revolutionary innovation in the field of navigation aids, help pilots to have a smooth and safe landing. Landing depends upon the two factors: elevator deflection and throttle deflection; the relation between the two should be maintained in order to acquire a non-oscillatory output response. Membership function are developed using the crisp values of velocity and height of an aircraft. Fuzzi...

Knowledge extraction process poses certain problems like accessing sensitive, personal or business information. Privacy invasion occurs owing to the abuse of personal information. Hence privacy issues are challenging concern of the data miners. Privacy preservation is a complex task as it ensures the privacy of individuals without losing the accuracy of data mining results. In this paper, fuzzy...

Summary . IF-THEN rules in fuzzy inference is composed of multiple sets (membership functions). can therefore be considered as a pair membership functions [7]. The evaluation function control composite with approximate reasoning and functional on the set functions. We obtained continuity compactness [12]. Therefore, we proved existence functions, which maximizes (minimizes) rules, by using extr...

The present study considers a fuzzy natural color system (NCS) in which triangular pyramid membership functions are constructed on the NCS color triangle. This system can process a fuzzy input to an NCS and output a center of gravity of three weights associated with respective grades. Triangular membership functions are applied to the hue angle, and triangular pyramid membership functions are a...

In this paper, analytical structure of Simplest fuzzy controllers are derived for Center of Sum and Height defuzzification methods, under Mamdani Minimum and Larsen Product reasoning, using asymmetrical/ symmetrical, trapezoidal/ triangular/singleton output membership function. The drawbacks, errors of existing analytical structures are discussed and revised accordingly. The analysis of derived...