A Fermatean fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared intuitionistic and Pythagorean has energetic applications decision-making. Aggregation operators are very helpful for assessing alternatives decision-making process, their purpose integrate all individual evaluation values into unified form. In this research article, some new aggregatio...

Because of the complexity of decision-making environment, the uncertainty of fuzziness and the uncertainty of grey maybe coexist in the problems of multi-attribute group decision making. In this paper, we study the problems of multi-attribute group decision making with hybrid grey attribute data (the precise values, interval numbers and linguistic fuzzy variables coexist, and each attribute val...

It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted attention many scientists. At this paper, we provide Euler’s De Moivre’s formulas for 4×4 matrices associated with by using trigonometric identities. Also, give roots Moreover, some illustrative examples to support main formulas.

producing hybrid lettuce is prevented by flower structure and usually lead to selfing. based on it, this experiment was carried out to evaluate the performance of different physical and chemical emasculation methods for producing lettuce hybrid seed. a numbers of cultivars with dominant and recessive traits were used as male and female parents, respectively. in the first experiment, physical em...

fuzzy measures are suitable in analyzing human subjective evaluation processes. several different strategies have been proposed for distance of fuzzy numbers. the distances introduced for fuzzy numbers can be categorized in two groups:1. the crisp distances which explain crisp values for the distance between two fuzzy numbers.2. the fuzzy distance which introduce a fuzzy distance for normal fuz...

Hybrid number system is a generalization of complex, hyperbolic and dual numbers. numbers hybrid polynomials have been the subject much research in recent years. In this paper, hybrinomials related to hyper-Fibonacci hyper-Lucas are defined. Then some algebraic properties newly defined examined such as recurrence relations summation formulas. Also, relation between given. Additionally, by using

In this paper, we address the problem of safety verification of interval hybrid systems in which the coefficients are intervals instead of explicit numbers. A hybrid symbolicnumeric method, based on SOS relaxation and interval arithmetic certification, is proposed to generate exact inequality invariants for safety verification of interval hybrid systems. As an application, an approach is provid...

Redundant and hybrid-redundant number representations are used extensively to speed up arithmetic operations within general-purpose and special-purpose digital systems, with the latter (containing both redundant and nonredundant digits) offering cost advantages over fully redundant systems. We use weighted bit-set (WBS) encoding as a paradigm for uniform treatment of five previously studied var...