JAEM 2022, Vol 12, No 2

Rough cubic Pythagorean fuzzy sets in semigroup

2022-01-01T00:00:00Z

Rough cubic Pythagorean fuzzy sets in semigroup Chinnadurai, Veerappan; Arulselvam, A. In this paper, we intend the concept of rough cubic Pythagorean fuzzy ideals in the semigroup. By using this notion, we discuss lower approximation and upper approximation of cubic Pythagorean fuzzy left (right) ideals, bi-ideals, interior ideals, and study some of their related properties in detail.

On bivariate credibility estimator with GLM theory

2022-01-01T00:00:00Z

On bivariate credibility estimator with GLM theory Djebar, Ahlem; Zeghdoudi, Halim Credibility theory is one of the cornerstones of actuarial science as applied to casualty and property insurance, based on the concept of limiting the estimator of individual premium to the class of estimators that are linear with respect to all observations of the portfolio. This work deals with the bivariate data(number and amounts of claims of the contracts), we give the bivariate credibility estimator using exponential families and GLM theory. Just like in the case of classical credibility model we will obtain a credible solution in the form of a linear combination of the individual estimate and the collective estimate. And we add the proprieties on exact Bayes premium.

Approximation by De La Vallée Poussin means in weighted generalized grand Smirnov classes

2022-01-01T00:00:00Z

Approximation by De La Vallée Poussin means in weighted generalized grand Smirnov classes Testici, Ahmet Let G be a simple connected domain on complex plane such that Γ := ∂G where Γ is a Carleson curve. In this work, we investigate the rate of approximation by De La Vall´ee Poussin mean constructed via p − ε Faber series in the proper subclass of weighted generalized grand Smirnov classes Ep),θω (G), 1 < p < ∞ where the ω satisfying Muckenhoupt’s condition.

Bipolar fuzzy graphs based on the product operator

2022-01-01T00:00:00Z

Bipolar fuzzy graphs based on the product operator Naz, Sumera; Rauf, Asia From both theoretical and experimental perspectives, bipolar fuzzy set theory serves as a foundation for bipolar cognitive modeling and multi-agent decision analysis, where the product operator may be preferred over the min operator in some scenarios. In this paper, we discuss the basic properties of operations on product bipolar fuzzy graphs (PBFGs)(bipolar fuzzy graphs based on the product operator) such as direct product, Cartesian product, strong product, lexicographic product, union, ring sum and join. Also we define the notion of complement of PBFGs and investigate its properties. Moreover, application of PBFG theory is presented in multi-agent decision making.