Optimized Model of Experimental Teaching Plan Based on Improved by Clear Theory

With the continuous advancement of the “Double First-Class” university plan, the status and role of experimental teaching in university teaching has become increasingly prominent. Chosen as one of the “Double First-Class” universities, Beijing Institute of Technology has also carried out a series of experimental teaching reforms, and has produced different reform plans in the laboratory of “Geometrical Accuracy Specifications”, School of Mechanical Engineering. In order to optimize different schemes, the experimental teaching center innovatively proposes an optimized model improved by clear theory. This is a decisionmaking method based on triangular fuzzy number and clear theory. Utilizing the fuzzy theory and clear theory, the advantages and disadvantages of the alternatives can be ranked more accurately, the influence of subjective and objective factors in the process of selecting the alternatives can be reduced, and new methods can be provided for decision makers to choose the best alternative.


Introduction
The construction of "double first-class" is the focus of current university builders, and its proposal especially creates new opportunities for the development of local universities in our country. With the continuous advancement of the "double first-class" construction, the status and role of experimental teaching in college teaching have become increasingly prominent [1]. Experimental teaching is an important part of the teaching work of colleges and universities, and strengthening experimental teaching is an important means to cultivate students' innovative consciousness, innovative spirit and innovative ability [2,3]. However, due to historical reasons, experimental teaching has always been in the auxiliary position of higher education and has not received enough attention. As a result, the content and form are outdated, and they have not kept up with the development of higher education and the times, and cannot meet the actual needs of modern talent training. Therefore, it is necessary to promote experimental teaching reform.
As a "double first-class" university, Beijing Institute of Technology has also carried out a series of experimental teaching reforms, and different reform plans have been produced in the Geometric Precision Standards Laboratory of the School of Machinery and Vehicles. In order to optimize the different programs, this paper establishes a clear theoretically improved experimental teaching program optimization model.
The publication of the book "Clarity Sets and Their Applications" [4] compiled by Wu Huaying and Professor Wu Heqin marked the birth of a new mathematical theory-the Clarity Set Theory. Professor Su Fahui collected the latest research results of Clarity Collection for many years, edited and integrated it, and made it systematized, and published the book "The Theoretical Basis of Clarity" [5]. It is more effective, more accurate, and more solid theoretical foundation than other theories when dealing with fuzzy phenomena that are partly partly part of it. This is a breakthrough and innovation in the research of expressing and processing fuzzy information.
The existing scheme decision model research is mostly fuzzy decision model [6,7,8,9,10,11,12], but due to many shortcomings of fuzzy theory, the use of this decision model has certain restrictions [13,14,15]. This paper introduces the triangular fuzzy number theory in the fuzzy number theory on the basis of the clear theory [16,17,18], and establishes the experimental teaching program optimization model for the improvement of the clear theory. Triangular fuzzification of the evaluation value reduces the deviation caused by personal preference or statistical error in the judgment process, and the use of clear theory for evaluation and feedback in decisionmaking makes up for the defects of fuzzy theory. This makes the optimization result more accurate, provides a more reliable selection model for the optimization of a variety of experimental teaching programs, and is applied in the optimization process of the experimental teaching program of "Geometric Precision Norm", and has achieved good experimental results.   correspondingly, we get:

Definition of clear rational numbers
, clear rational number is represented by real number 1 x , thus we can see that clear numbers are extensions of real numbers, and real numbers are special cases of clear numbers.

Addition of clear rational numbers
Definition 5 set clear rational numbers     respectively, and they are called the vertical and horizontal sides of the marginal product matrix of membership. The two perpendicular lines are called the vertical and horizontal axes of the marginal product matrix.

Table2. Boundary product matrix of membership of  
It is called the membership product matrix of   into a column      , ,..., , 2 1 l This is called a clear number. , denoted as . Arrange the corresponding elements of

Multiplication of clear rational numbers
,..., , 2 1 l , which is called the clear number

Mean value of clear rational numbers
be a clear rational number of order n, which can be expressed as

Optimal model of experimental teaching program with clear theory improvement
Step 1 initially determine the alternative experimental teaching plan.
Step 2 Form an evaluation team and determine the evaluation attribute set and scale set.
Step 3 Ask the evaluation team to make a fuzzy evaluation of each alternative, and obtain the comprehensive evaluation value of the alternative given by the group k d . ) , thus, the comprehensive evaluation matrix P of option p i given by group d k can be obtained.
Step 4 Establish a team of experts, give feedback on the evaluation results, and the expert group will make statements on the evaluation results, and use clear theory to calculate the statement results, and solve the comprehensive results after the feedback of each plan     x P E i .
Step 5 Determine the pros and cons of each alternative pivot plan.
The larger the value of     x P E i , the better the comprehensive value of the evaluation and feedback results, and the better the corresponding plan

Conclusion
This paper combines the triangular fuzzy number with the clarity theory and innovatively proposes an improved experimental teaching program optimization model of the clarity theory, which provides a new method for the evaluation of the experimental teaching program. The order of the mean size of the comprehensive decision value after feedback can be seen that the ranking of the pros and cons of the alternatives.