A topological structure on mechanical

In this paper, The concept of topological structure on Mechanical is introduced and some properties are studied.


INTRODUCTION
In sociology, economics, environment engineering, etc., the classical method does not give the exact value to solve some kind of problems given, where these kind of problems have their own uncertainities. Hence the need of fuzzy arises, fuzzy sets are used to calculate the uncertainities in a problem. In 1965,the researcher, L.A Zadeh was firstly proposed by fuzzy set theory to solve this situations. These fuzzy set theory has been studied for both mathematician and computer scientists and many applications on several areas of research such as machine learning energy producing like in mechanical area, aeronautical area, etc., we are discussed above the topological space, fuzzy topological space and thermal energy. We have solve some problems to fuzzy modes of transfer.

1.1Definition
Let ܺ ≠ ∅, a topological on X, is a collection of "Open Subsets" of X, which satisfy the following

Definition:
A familyߜ ⊆ ‫ܫ‬ ௫ of fuzzy set is known as the Fuzzy topology of X,if it satisfies the following axioms

Remark:
The pair (ܺ, ߜ) is known as a fuzzy topological space, or a functions, the elementsߜ are known as a fuzzy open sets.

Definition
Let ‫,ݔ(‬ ߜ)ܽ݊݀(ܻ, ߪ) be a fuzzy topological spaces. The fuzzy space of a product of X and Y are a Cartesian product ܺ × ܻ of sets X and Y together within the fuzzy topology is generated as by a family the family ‫ܣ{‬ × ‫ܣ‬ ߳ߜ, ‫ܤ‬ ߳ߪ} forms a base for the fuzzy product topologyܺ × ܻ.

3.1Definition
Thermal energy used the inner energy of any object by reasoning of the kinetic energy of its Molecules and/or Atoms. The Molecules /Atoms of a temperatured object had large number of kinetic energy, then those of a low temperature are in the form of Translational motion, Rotational, or the cases like gas, Vibrational.

Example of both Thermal and Kinetic energy
1. When due to a rise in temperature ofa molecules and atoms are vibrating higher comes from a substance is also known as thermal energy 2. Heat energy is also named asa Thermal energy. 3. Kinetic energy is an energy of a Moving object.

Flow chart of Power Plant on Thermal:
' Figure 1

3.1.1Conduction
Conduction is an energy transfer from the greater energetic particle to lower energetic particle due to the interaction between the particle.

Definition ofFuzzy thermal energy
Thermal energy of Fuzzy Topology(TFT) is the inner energy of a fuzzy object by reasoning of its kinetic energy of an atoms/molecules. The molecules/atoms of a Fuzzy area (ߪ)heatest one having a greatest energy in the form of a vibration, rotational, in the case of gas, transitional motion,etc.,

Conduction
The Conduction of Fuzzy Topology (CFT) is a energy transfer from the Higher energy FT particle(HFT) to Lower energy FT particle(LFT) due to the interaction between the fuzzy particle.

4.2Convention
The convention of fuzzy topology is an energy transfer between a Surfaceof a Solid in Fuzzy Topology(SFT)to the Liquid surface Fuzzy Topology(LFT) or Gas Fuzzy Topology(GFT) that is in amotion in a topological, it is the conduction fluid motion of combined effects.

Problem 4.2.1
An object is heated to 0.7 o F and to cool in a room, whose air temperature away on the surface is 0.

Conclusion:
In this paper we discussed topological space, fuzzy topological space and thermal energy, we execute this thermal energy explained in fuzzy topology and we solved some problems to fuzzy modes of transfer.