Advanced Mathematics

In this work, we explore the fuzzy soft matrix and their operations. In this report, we define intuitionistic fuzzy soft matrices and have inserted some new operators with weights. We then prove fuzzy soft algorithm that allows constructing those efficient decision making methods. In the end, we throw an example on the weighted harmonic mean for decision making problems. It indicates that the method can be successfully employed to many problems that contain uncertainties.

In this article, we present a general fractional dynamical system related to cancer tumor. The considered model describes tumor – immune cell interactions using a system of fractional order differential equations. The conditions for global stability of cancer free state are studied, for the ague therapy fractional model. In order to stabilize or completely eliminate the cancer, we suggest suitable choices of functions and parameters in our fractional model.

In this study, we concluded the Lagrangian equations on (J^((2,0) ) M,?_L,?) , being a model. Finally introduce, some geometrical and physical results on the related mechanic systems have been discussed.

In this paper, we made an attempt to study the algebraic nature of fuzzy subfield of a field with respect to T-norm.

In this paper we introduced the concept of fuzzy g- super closed and explore various properties fuzzy topological space.

In this paper we studied fractional calculus properties. Riemann-Liouville fractional integral and derivative of the Generalized p-k Wright function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.

In this paper, we study the structure of cancellative quasi commutative ternary semigroups. In fact we prove that if T is a cancellative quasi commutative ternary semigroup, then (1) T is a primary ternary semigroup, (2) proper prime ideals in T are maximal, (3) semiprimary ideals in T are primary, are equivalent. We obtain a characterization for semipseudo symmetric ternary semigroups with identity in which proper prime ideals are maximal and also we characterize semipseudo symmetric semigroups without identity in which proper prime idels are maximal and globally idempotent principal ideals from a chain. Further we characterize quasi commutative ternary semigroups containing cancellable elements in which proper prime ideals are maximal. Finally we study the ternary semigroups containing, identity with either one of the following properties. (1) Every nonzero primary ideal is prime as well as maximal, (2) every nonzero primary ideal is prime, (3) every nonzero ideal is prime.

It is well known that a dynamical system is a concept in mathematics where a fixed rule describes how a point in a geometrical space depends on time. A mathematical models is a precise representation of a system's dynamics used to answer questions via analysis and simulation. Mathematica models allow us to reason about a system and make predictions about who a system will behave. Contact geometry is the odd-dimensional analogue of symplectic geometry. It is close to symplectic geometry and like the latter it originated in questions of classical and analytical mechanics. If contact geometry is considered as a symplectic geometry, it has broad applications in mathematical physics, geometrical optics, classical mechanics, analytical mechanics, mechanical systems, thermodynamics, geometric quantization and applied mathematics such as control theory. It is well known fact that one way of solving problems in classical mechanics occur with the help of the Hamilton equations. Hamiltonian method is particularly important because of its utility in formulating quantum mechanics. In this study, Hamilton equations as representive the object motion were found on a contact 5-manifolds. Also, implicit solutions of the differential equations found in this study are solved by Maple computation program.

The purpose of this subject to know the quality of clinker which produce from the rotary kiln according to amount oxygen rate in the exhausted cases measured by or sat device in smoke chamber .the expert in quality control can be recognize the good clinker and bad clinker according to the condition of kilne to maintain the flame temperature in suitalele range that inverts relation with excess oxygen to protect the material temperature in in the burning zone . if the temperature of materials increased or decreased or decreased will be cause upset the kiln and the material feed become deeay so that the economy cost is rising .

The aim of this paper is to give decomposition of a weaker form of continuity, namely fuzzy -continuity, by providing the concepts of fuzzy -closed set, fuzzy - set, fuzzy -continuity and fuzzy -continuity.