in this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. our goal is to estimate the output of a same and new production unit with existing production possibility and amount of input is specified. so, initially we find the interval changes of each input...

We propose a method based on finite mixture models for classifying a set of observations into number of different categories. In order to demonstrate the method, we show how the component densities for the mixture model can be derived by using the maximum entropy method in conjunction with conservation of Pythagorean means. Several examples of distributions belonging to the Pythagorean family a...

Intuitionistic fuzzy sets (IFS), Pythagorean (PFS), and q-rung orthopair (q-ROFS) are among those concepts which widely used in real-world applications. However, these theories have their own limitations terms of membership non-membership functions, as they cannot be obtained from the whole unit plane. To overcome restrictions, we developed concept a complex linear Diophantine set (CLDFS) by ge...

As general concepts of sup-hesitant fuzzy right (resp., left, interior, two-sided) ideals semigroups, the sup+α-hesitant and sup-β-hesitant are introduced their properties investigated. Then, established by sets, Łukasiewicz anti-fuzzy Pythagorean hesitant hybrid interval-valued sets cubic sets. Finally, we characterize which is intra-regular, completely regular, simple semigroups or another ty...

It is well known that Pythagorean triples can be parametrized by two triples of polynomials with integer coefficients. We show that no single triple of polynomials with integer coefficients in any number of variables is sufficient, but that there exists a parametrization of Pythagorean triples by a single triple of integer-valued polynomials. The second author has recently studied polynomial pa...

In this paper, A Novel Stochastic Algorithm using Pythagorean means for minimization of the objective function is described. The algorithm is initially tested with Rastrigin’s function and compared with Genetic algorithm results for the function with the same initial conditions. After this, it is used in tuning the gains of fuzzy PD + I controller for trajectory control of PUMA 560 robot manipu...

based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. further...

Abstract Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid that can hold much more information and be used to describe both an interval-valued (IVPFS) (PFS) at the same time handle data uncertainties. Based on it, present study classified into three phases. The first phase modify existing operational laws aggregation operators (AOs) in article presented by Abbas et al. (Journal of Intelligen...