CN109064360A - A kind of course recommended method based on student's preference degree - Google Patents
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Abstract
The invention discloses a kind of course recommended methods based on student's preference degree, comprising: following steps: step 1: establishing students' needs mathematical model, step 2: setting students' needs target, step 3: defining course object and course table object, step 4: student's input obtains required course from system, it generates required course course and combines K0, step 5: student inputs elective course and its preference, input sport required course and its preference, according to required course curriculum schedule when input, jump out curriculum schedule conflict prompting, the course that school timetable conflict will be present excludes, the elective course set K1 and sport required course course set K2 that the generation class period does not conflict；The present invention can calculate Course selection model target using computer, and the course recommended method based on student's preference degree of the interested optional course combination of one group of student is quickly recommended.
Description
Technical field
It is specifically a kind of by obtaining student's course hobby the present invention relates to the students' needs field of school's teaching management
Degree, quickly recommends the method for one group of optional course using information technology.
Background technique
Curricula-variable, also referred to as course are taken as an elective course, i.e., the course that permission student opens up school has certain selection freedom, including
Course, teacher and class period are selected, selection is suitble to the quantity of study and study course of oneself.Credit is generally carried out in colleges and universities
Under the background of system, curricula-variable is the paradox that a variety of limited teaching resources of school conflict with the unlimited curricula-variable wish of numerous students,
It is a kind of relationship of multi-to-multi.
School's curricula-variable is generally divided into primary election (screening), by-election confirmation, moves back class three phases finally determining school timetable.Curricula-variable it
Before, " the curricula-variable handbook " that students' union issues according to school in advance carries out course and presets, and can generally prearrange one or more
A curricula-variable scheme.If fruit part hot topic course is eliminated, by-election confirmation stage student needs to readjust curricula-variable scheme.
System of the students' needs Scheme Choice by factors such as curriculum character, course (class period) combination and hobbies
About, course combination selection is difficult.Course selection restraining factors mainly have four classes: (examination) time of attending class between course, course layer
Secondary and course is given a course the factor constraints such as object；The constraint of Professional Training Scheme and school's curricula-variable relevant regulations；Student itself
The factors such as hobby, arrangement of time restrict.4. popular course resources competitiveness restricts.Due to being restricted by above-mentioned factor, select
It chooses the course liked in student's short time class stage to be difficult, student selects the more courses liked to be more difficult.
Summary of the invention
(1) technical problems to be solved
The present invention will overcome the disadvantages mentioned above of the prior art, from the angle of students' needs demand, according to the whole of curricula-variable
Body situation, therefrom selection accounts for desired by Most students three targets (elective course interest highest, P.E interest highest and required
It is minimum to take course) it is modeled, in conjunction with class period, test time, course level, personal maximum curricula-variable credit, physical education
The constraints such as journey door number limitation, quickly recommend the course recommended method based on student's preference degree of one group of optional optimal course.
(2) technical solution
A kind of course recommended method based on student's preference degree of the invention, includes the following steps:
Step 1: establishing students' needs mathematical model.Curricula-variable constraint condition can be indicated by following 9 formulas:
x1+x2+...+xn=n xn=0 or 1 (1)
s1+s2+...+sn≤d sn=0 or 1 (2)
b1s1+b2s2+...+bmsm≥M (3)
2yi3≤yi2+yi1 (7)
yi2≤yi1 (8)
C=c | yij=1, i=1,2 ... k；J=1,2,3 } (9)
Y={ yij|yij=1, i=1,2 ... k；J=1,2,3 } (10)
S={ si|si=1, i=1,2 ... m } (11)
Wherein, XnIndicate n-th required course, n is required course door number, snFor n-th elective course, bnFor the n-th subject
Point, βnFor the degree of liking of n-th elective course, d is the optional most gate number of elective course, bmIndicate m elective course credits, M is indicated
The minimum credit of student's elective course, MC indicate maximum curricula-variable credit,Indicate that kth subject attends class the 13 × 7 of (examination) time
Second order sparse matrix.yijIndicate i-th kind of jth level sport required course, C indicates to have repaired the quantity of physical education, and body has been repaired in Y expression
Course set is educated, elective set has been repaired in S expression.
In curricula-variable constraint condition, formula (1) indicates that required course is essential；Formula (2) (3) (11) indicates elective course most gate number, repairs
It reads credit and has repaired elective set；Formula (4) indicates school's curricula-variable upper limit credit requirement；Formula (5) indicates selected course school timetable
Do not conflict；Formula (6) to (10) indicates that sport required course can only repair one and can only take the advanced class for not repairing course or permission
Journey.
Step 2: setting students' needs target:
During students' needs, the target of student is relatively more, and this patent at most and is taken with the interested course of student
Course number is at least target:
Target 1: elective course interest highest indicates are as follows:
Target 2: P.E interest highest indicates are as follows:
Target 3: it is minimum to take course, indicates are as follows:
Introduce no negative coefficient λ1, λ2, λ3As the coefficient of each target, then objective function E may be expressed as:
E=λ1E1+λ2E2-λ3E3(λ1> 0, λ2> 0, λ3>0)
Step 3: defining course object and course table object.As shown in Table 1 and Table 2
1 course object definition of table
2 curriculum schedule object definition of table
Step 4: student's input obtains required course from system, generates required course course and combines K0.
Step 5: student inputs elective course and its preference, input sport required course and its preference, input when
It waits according to required course curriculum schedule, jumps out curriculum schedule conflict prompting, the course that school timetable conflict will be present excludes, and generates the class period
The elective course set K1 and sport required course course set K2 not conflicted.
Step 6: input obtains elective course history course from system, and having repaired in optional elective course set K1 is taken as an elective course
Class is deleted, and new set K1 ' is generated.
Step 7: input obtains sport history course from system, generates sport with the course of curriculum group course level+1
Set B seeks common ground sport required course set K2 and B, generates B '；The primary class that will not be repaired in optional sport required course set K2
Cheng Zuowei is a kind of, is denoted as B ".B ' and B " are sought into union, generate new optional sport required course set K2 '.
Step 8: since elective course course number is constant d, the maximum course number of optional elective course set K1 ' is k, then may be used
Elective course combination is selected to haveKind.As d=1, optional elective course isThe single courses set of a course
φ1；As d=2, optional elective course isThe set φ of the two subjects journey set of a course2；As d=3, optional elective course
ForThe set φ of 3 subject set of a course3；... as d=d, optional elective course isThe d subject collection of a course
The set φ of conjunctiond.Set φ=φ of optional elective course1+φ2+...+φd.When seeking set, 1. to the upper of elective course
Judged between class hour, if there is conflict, which is deleted；2. the elective course credit sum to each small set carries out
It calculates, if elective course credit sum is less than the minimum credit M of student's elective course, which is deleted.
Step 9: respectively by each element set (containing null set) of required course course combination K0 and optional sport required course K2 '
It is combined, by the set A of these set of combination combination producing containing a physical education and required course, then will each member of set A
Each element set of the set φ of element set and optional elective course is combined (containing null set), generates several final curriculum groups
The set K of conjunction (null set is cast out).The each final course combination of circulation, 1. if curriculum schedule there are class period conflicts, will
Course combination is deleted；2. course combination is deleted if the maximum credit of curriculum schedule is greater than maximum curricula-variable credit MC.
Step 10: calculate E1, E2, E3 value that each course of the set K of final course combination combines, further according to E1,
Then E2, E3 weight calculation final goal E value are from big to small ranked up the combination of each course according to E value, and are output to use
Family end, wherein the bigger curricula-variable scheme of E value is optimal.
(3) beneficial effect
The present invention compared with prior art, has the advantages that the present invention can be using computer to curricula-variable mould
Type target calculates, and quickly recommends the interested optional course combination of one group of student.
Specific embodiment
As preferred embodiments of the present invention:
A kind of course recommended method based on student's preference degree, characterized by the following steps:
Step 1: establishing students' needs mathematical model.Curricula-variable constraint condition can be indicated by following 9 formulas:
x1+x2+...+xn=n xn=0 or 1 (1)
s1+s2+...+sn≤d sn=0 or 1 (2)
b1s1+b2s2+...+bmsm≥M (3)
2yi3≤yi2+yi1 (7)
yi2≤yi1 (8)
C=c | yij=1, i=1,2 ... k；J=1,2,3 } (9)
Y={ yij|yij=1, i=1,2 ... k；J=1,2,3 } (10)
S={ si|si=1, i=1,2 ... m } (11)
Wherein, XnIndicate n-th required course, n is required course door number, snFor n-th elective course, bnFor the n-th subject
Point, βnFor the degree of liking of n-th elective course, d is the optional most gate number of elective course, bmIndicate m elective course credits, M is indicated
The minimum credit of student's elective course, MC indicate maximum curricula-variable credit,Indicate that kth subject attends class 13 × the 7 two of (examination) time
Rank sparse matrix.yijIndicate i-th kind of jth level sport required course, C indicates to have repaired the quantity of physical education, and sport has been repaired in Y expression
Elective set has been repaired in course set, S expression.
In curricula-variable constraint condition, formula (1) indicates that required course is essential；Formula (2) (3) (11) indicates elective course most gate number, repairs
It reads credit and has repaired elective set；Formula (4) indicates school's curricula-variable upper limit credit requirement；Formula (5) indicates selected course school timetable
Do not conflict；Formula (6) to (10) indicates that sport required course can only repair one and can only take the advanced class for not repairing course or permission
Journey.
Step 2: setting students' needs target:
During students' needs, the target of student is relatively more, and this patent at most and is taken with the interested course of student
Course number is at least target:
Target 1: elective course interest highest indicates are as follows:
Target 2: P.E interest highest indicates are as follows:
Target 3: it is minimum to take course, indicates are as follows:
Introduce no negative coefficient λ1, λ2, λ3As the coefficient of each target, then objective function E may be expressed as:
E=λ1E1+λ2E2-λ3E3(λ1> 0, λ2> 0, λ3>0)
Step 3: defining course object and course table object.As shown in Table 1 and Table 2
1 course object definition of table
2 curriculum schedule object definition of table
Step 4: student's input obtains required course from system, generates required course course and combines K0.
Step 5: student inputs elective course and its preference, input sport required course and its preference, input when
It waits according to required course curriculum schedule, jumps out curriculum schedule conflict prompting, the course that school timetable conflict will be present excludes, and generates the class period
The elective course set K1 and sport required course course set K2 not conflicted.
Step 6: input obtains elective course history course from system, and having repaired in optional elective course set K1 is taken as an elective course
Class is deleted, and new set K1 ' is generated.
Step 7: input obtains sport history course from system, generates sport with the course of curriculum group course level+1
Set B seeks common ground sport required course set K2 and B, generates B '；The primary class that will not be repaired in optional sport required course set K2
Cheng Zuowei is a kind of, is denoted as B ".B ' and B " are sought into union, generate new optional sport required course set K2 '.
Step 8: since elective course course number is constant d, the maximum course number of optional elective course set K1 ' is k, then may be used
Elective course combination is selected to haveKind.As d=1, optional elective course isThe single courses set of a course
φ1；As d=2, optional elective course isThe set φ of the two subjects journey set of a course2；As d=3, optional elective course
ForThe set φ of 3 subject set of a course3；... as d=d, optional elective course isThe d subject collection of a course
The set φ of conjunctiond.Set φ=φ of optional elective course1+φ2+...+φd.When seeking set, 1. to the upper of elective course
Judged between class hour, if there is conflict, which is deleted；2. the elective course credit sum to each small set carries out
It calculates, if elective course credit sum is less than the minimum credit M of student's elective course, which is deleted.
Step 9: respectively by each element set (containing null set) of required course course combination K0 and optional sport required course K2 '
It is combined, by the set A of these set of combination combination producing containing a physical education and required course, then will each member of set A
Each element set of the set φ of element set and optional elective course is combined (containing null set), generates several final curriculum groups
The set K of conjunction (null set is cast out).The each final course combination of circulation, 1. if curriculum schedule there are class period conflicts, will
Course combination is deleted；2. course combination is deleted if the maximum credit of curriculum schedule is greater than maximum curricula-variable credit MC.
Step 10: calculate E1, E2, E3 value that each course of the set K of final course combination combines, further according to E1,
Then E2, E3 weight calculation final goal E value are from big to small ranked up the combination of each course according to E value, and are output to use
Family end, wherein the bigger curricula-variable scheme of E value is optimal.
The present invention can calculate Course selection model target using computer, and the interested optional course of one group of student is quickly recommended
The course recommended method based on student's preference degree of combination.
The above-described embodiments are merely illustrative of preferred embodiments of the present invention, not to structure of the invention
Think and range is defined.Without departing from the design concept of the invention, ordinary people in the field is to technology of the invention
The all variations and modifications that scheme is made, should all drop into protection scope of the present invention, the claimed technology contents of the present invention,
It is all described in the claims.
Claims (1)
1. a kind of course recommended method based on student's preference degree, characterized by the following steps:
Step 1: establishing students' needs mathematical model.Curricula-variable constraint condition can be indicated by following 9 formulas:
x1+x2+...+xn=n xn=0 or 1 (1)
s1+s2+...+sn≤d sn=0 or 1 (2)
b1s1+b2s2+...+bmsm≥M (3)
2yi3≤yi2+yi1 (7)
yi2≤yi1 (8)
C=c | yij=1, i=1,2 ... k；J=1,2,3 } (9)
Y={ yij|yij=1, i=1,2 ... k；J=1,2,3 } (10)
S={ si|si=1, i=1,2 ... m } (11)
Wherein, XnIndicate n-th required course, n is required course door number, snFor n-th elective course, bnFor the credit of the n-th subject, βn
For the degree of liking of n-th elective course, d is the optional most gate number of elective course, bmIndicate m elective course credits, M indicates student
The minimum credit of elective course, MC indicate maximum curricula-variable credit,Indicate that kth subject is attended class 13 × 7 second orders of (examination) time
Sparse matrix.yijIndicate i-th kind of jth level sport required course, C indicates to have repaired the quantity of physical education, and physical education has been repaired in Y expression
Elective set has been repaired in Cheng Jihe, S expression.
In curricula-variable constraint condition, formula (1) indicates that required course is essential；Formula (2) (3) (11) indicates elective course most gate number, takes
Divide and has repaired elective set；Formula (4) indicates school's curricula-variable upper limit credit requirement；Formula (5) indicates that selected course school timetable does not rush
It is prominent；Formula (6) to (10) indicates that sport required course can only repair one and can only take the honors for not repairing course or permission.
Step 2: setting students' needs target:
During students' needs, the target of student is relatively more, and this patent at most and takes course with the interested course of student
Number is at least target:
Target 1: elective course interest highest indicates are as follows:
Target 2: P.E interest highest indicates are as follows:
Target 3: it is minimum to take course, indicates are as follows:
Introduce no negative coefficient λ1, λ2, λ3As the coefficient of each target, then objective function E may be expressed as:
E=λ1E1+λ2E2-λ3E3(λ1> 0, λ2> 0, λ3>0)
Step 3: defining course object and course table object.As shown in Table 1 and Table 2
1 course object definition of table
2 curriculum schedule object definition of table
Step 4: student's input obtains required course from system, generates required course course and combines K0.
Step 5: student inputs elective course and its preference, input sport required course and its preference, root when input
According to required course curriculum schedule, curriculum schedule conflict prompting is jumped out, the course that school timetable conflict will be present excludes, and the generation class period does not rush
Prominent elective course set K1 and sport required course course set K2.
Step 6: input obtains elective course history course from system, and the elective course of having repaired in optional elective course set K1 is deleted
It removes, generates new set K1 '.
Step 7: input obtains sport history course from system, generates sport with the course set of curriculum group course level+1
B seeks common ground sport required course set K2 and B, generates B '；The first course that do not repair in optional sport required course set K2 is made
For one kind, it is denoted as B ".B ' and B " are sought into union, generate new optional sport required course set K2 '.
Step 8: since elective course course number is constant d, the maximum course number of optional elective course set K1 ' is k, then optional choosing
Repairing class combination hasKind.As d=1, optional elective course isThe single courses set φ of a course1；Work as d
When=2, optional elective course isThe set φ of the two subjects journey set of a course2；As d=3, optional elective course isA class
The set φ of 3 subject set of journey3；... as d=d, optional elective course isThe set of the d subject set of a course
φd.Set φ=φ of optional elective course1+φ2+...+φd.When seeking set, 1. to the class period of elective course into
Row judgement, if there is conflict, which is deleted；2. the elective course credit sum to each small set calculates, such as
Fruit elective course credit sum is less than the minimum credit M of student's elective course, then the small set is deleted.
Step 9: each element set (containing null set) of required course course combination K0 and optional sport required course K2 ' is carried out respectively
Combination, by the set A of these set of combination combination producing containing a physical education and required course, then will each element set of set A
It closes and each element set of the set φ of optional elective course (containing null set) is combined, generate several final course combinations
Set K (null set is cast out).The each final course combination of circulation, 1. if curriculum schedule there are class period conflicts, by the class
Cheng Zuhe is deleted；2. course combination is deleted if the maximum credit of curriculum schedule is greater than maximum curricula-variable credit MC.
Step 10: calculate E1, E2, E3 value that each course of the set K of final course combination combines, further according to E1, E2, E3
Then weight calculation final goal E value is from big to small ranked up the combination of each course according to E value, and is output to user terminal,
Wherein the bigger curricula-variable scheme of E value is optimal.
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| CN110070471A (en) * | 2019-04-22 | 2019-07-30 | 中国石油大学(华东) | A kind of sport Course-Selecting System |
| CN112685470A (en) * | 2020-12-28 | 2021-04-20 | 阳江开放大学 | Lifelong learning resource intelligent pushing method based on credit bank and big data analysis |
| CN112950061A (en) * | 2021-03-26 | 2021-06-11 | 李绍奕 | Course selection method and device, electronic equipment and storage medium |
| CN114155123A (en) * | 2021-11-23 | 2022-03-08 | 陈冬冬 | Business processing method applied to big data and online education and big data server |
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| CN114155123A (en) * | 2021-11-23 | 2022-03-08 | 陈冬冬 | Business processing method applied to big data and online education and big data server |
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