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158 results on '"Fu, Gui"'

1. On the sum of L-convex spaces

Author

Fu-Gui Shi and Xiao-Wu Zhou

Subjects
Statistics and Probability, Combinatorics, 0209 industrial biotechnology, 020901 industrial engineering & automation, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, Regular polygon, 020201 artificial intelligence & image processing, 02 engineering and technology, Mathematics
Abstract

Considering L be a completely distributive lattice, the notion of the sum of L-convex spaces is introduced and its elementary properties is studied. Firstly, the connections between the sum of L-convex spaces and its factor spaces are established. Secondly, the additivity of separability (S-1, sub-S0, S0, S1, S2, S3 and S4) are investigated. Finally, the additivity of five types special L-convex spaces are examined.

Published
2021

3. Some separation axioms in L-convex spaces

Author

Xiao-Wu Zhou and Fu-Gui Shi

Subjects
Statistics and Probability, Combinatorics, Artificial Intelligence, General Engineering, Regular polygon, Separation axiom, Mathematics
Published
2019

4. A new approach to the fuzzification of groups

Author

Qi Liu and Fu-Gui Shi

Subjects
Statistics and Probability, Artificial Intelligence, business.industry, Fuzzy set, General Engineering, Pattern recognition, Artificial intelligence, business, Mathematics
Published
2019

5. Fuzzy soft sets as L-fuzzy sets

Author

Chao-Zan Fan and Fu-Gui Shi

Subjects
Statistics and Probability, Artificial Intelligence, Computer science, business.industry, Fuzzy set, General Engineering, Pattern recognition, Artificial intelligence, Fuzzy soft set, business
Published
2019

8. Derived operators on M-fuzzifying convex spaces

Author

Chong Shen, Fan-Hong Chen, and Fu-Gui Shi

Subjects
Statistics and Probability, Pure mathematics, Artificial Intelligence, General Engineering, Regular polygon, Mathematics
Published
2019

9. A new approach of describing L-fuzzy convexity

Author

Yu Zhong, Fan-Hong Chen, and Fu-Gui Shi

Subjects
Statistics and Probability, Artificial Intelligence, General Engineering, Applied mathematics, Fuzzy logic, Convexity, Mathematics
Published
2019

10. Degrees of (L, M)-fuzzy convexities

Author

Jie-Tao Zou, Yu Zhong, Chu-Yi Zou, and Fu-Gui Shi

Subjects
Statistics and Probability, Combinatorics, Artificial Intelligence, General Engineering, Fuzzy logic, Mathematics
Published
2019

15. L-fuzzy convexity induced by L-convex fuzzy ideal degree

Author

Fu-Gui Shi and Yuan-Liang Han

Subjects
Statistics and Probability, Combinatorics, Degree (graph theory), Artificial Intelligence, Fuzzy ideal, General Engineering, Regular polygon, Fuzzy logic, Convexity, Mathematics
Published
2019

16. M-fuzzifying derived spaces

Author

Yu Zhong, Fan-Hong Chen, and Fu-Gui Shi

Subjects
Statistics and Probability, Artificial Intelligence, General Engineering, Mathematics
Published
2019

17. Derived operators of M-fuzzifying matroids

Author

Fu-Gui Shi and Yu Zhong

Subjects
Statistics and Probability, Combinatorics, 0209 industrial biotechnology, 020901 industrial engineering & automation, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 020201 artificial intelligence & image processing, 02 engineering and technology, Matroid, Mathematics
Published
2018

18. L-concave bases and L-topological-concave spaces

Author

Fu-Gui Shi and Xiu-Yun Wu

Subjects
Statistics and Probability, Combinatorics, Artificial Intelligence, 010102 general mathematics, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 020201 artificial intelligence & image processing, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Mathematics
Published
2018

20. M-fuzzifying geodesic interval operators

Author

Fu-Gui Shi and Kai Wang

Subjects
Statistics and Probability, Combinatorics, 0209 industrial biotechnology, 020901 industrial engineering & automation, Geodesic, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, Interval (graph theory), 020201 artificial intelligence & image processing, 02 engineering and technology, Mathematics
Published
2018

21. M-fuzzifying independence spaces

Author

Shao-Jun Yang and Fu-Gui Shi

Subjects
Statistics and Probability, media_common.quotation_subject, 010102 general mathematics, General Engineering, 02 engineering and technology, 01 natural sciences, Independence, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, 0101 mathematics, Mathematical economics, media_common, Mathematics
Published
2018

22. An inequality approach for evaluating decision making units with a fuzzy output1

Author

Fu-Gui Shi, Xiao-Li Meng, and Jen-Chih Yao

Subjects
Statistics and Probability, Mathematical optimization, Inequality, Artificial Intelligence, Computer science, 020209 energy, media_common.quotation_subject, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 02 engineering and technology, Fuzzy logic, media_common
Published
2018

23. Characterizations of L-topologies

Author

Yi Shi and Fu-Gui Shi

Subjects
Statistics and Probability, 0209 industrial biotechnology, 020901 industrial engineering & automation, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 020201 artificial intelligence & image processing, 02 engineering and technology, Topology, Network topology, Mathematics
Published
2018

24. A new approach to the fuzzification of arity, JHC and CUP of L-convexities

Author

Fu-Gui Shi, Chong Shen, and Fan-Hong Chen

Subjects
Statistics and Probability, Combinatorics, Artificial Intelligence, 010102 general mathematics, Fuzzy set, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 020201 artificial intelligence & image processing, 02 engineering and technology, 0101 mathematics, Arity, 01 natural sciences, Mathematics
Published
2018

25. L-fuzzy convexity induced by L-convex degree on vector spaces

Author

Yu-Fei Wen, Yu Zhong, and Fu-Gui Shi

Subjects
Statistics and Probability, Degree (graph theory), 010102 general mathematics, General Engineering, Regular polygon, 02 engineering and technology, 01 natural sciences, Fuzzy logic, Convexity, Combinatorics, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, 0101 mathematics, Vector space, Mathematics
Published
2017

26. The relationship between L-subuniverses and L-convexities

Author

Fu-Gui Shi, Shao-Jun Yang, and Yu Zhong

Subjects
Statistics and Probability, Artificial Intelligence, 010102 general mathematics, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, 020201 artificial intelligence & image processing, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Mathematics
Published
2017

32. A new kind of measure of compactness in (L, M)-fuzzy supratopological spaces

Author

Fu-Gui Shi and Chengyu Liang

Subjects
Statistics and Probability, 0209 industrial biotechnology, Pure mathematics, 020901 industrial engineering & automation, Compact space, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, General Engineering, Measure (physics), 020201 artificial intelligence & image processing, 02 engineering and technology, Fuzzy logic, Mathematics
Published
2017

33. Formulations of L-convex hulls on some algebraic structures

Author

Fu-Gui Shi and Yu Zhong

Subjects
Statistics and Probability, Pure mathematics, Algebraic structure, 010102 general mathematics, General Engineering, Regular polygon, 02 engineering and technology, 01 natural sciences, Artificial Intelligence, Hull, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, 0101 mathematics, Mathematics
Published
2017

34. A generalized fuzzy data envelopment analysis with restricted fuzzy sets and determined constraint condition1

Author

Fu-Gui Shi and Xiao-Li Meng

Subjects
Statistics and Probability, Mathematical optimization, 021103 operations research, Fuzzy classification, Fuzzy measure theory, Computer science, Fuzzy set, 0211 other engineering and technologies, General Engineering, 02 engineering and technology, Defuzzification, Artificial Intelligence, Fuzzy mathematics, 0202 electrical engineering, electronic engineering, information engineering, Fuzzy set operations, Fuzzy number, 020201 artificial intelligence & image processing, Membership function
Published
2017

35. An extended DEA with more general fuzzy data based upon the centroid formula1

Author

Fu-Gui Shi and Xiao-Li Meng

Subjects
Statistics and Probability, 0209 industrial biotechnology, Computer science, business.industry, General Engineering, Centroid, Pattern recognition, 02 engineering and technology, computer.software_genre, 020901 industrial engineering & automation, Fuzzy data, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Data mining, Artificial intelligence, business, computer
Published
2017

36. SP-compactness and SP-connectedness degree in L-fuzzy pretopological spaces

Author

Fu-Gui Shi and A. Ghareeb

Subjects
Statistics and Probability, Pure mathematics, Degree (graph theory), Social connectedness, 010102 general mathematics, General Engineering, 02 engineering and technology, 01 natural sciences, Fuzzy logic, Compact space, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, 0101 mathematics, Mathematics
Published
2016

37. The free product of M-fuzzifying matroids1

Author

Erqiang Li and Fu-Gui Shi

Subjects
Statistics and Probability, Discrete mathematics, Computer Science::Computer Science and Game Theory, Mathematics::Combinatorics, General Engineering, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Matroid, Combinatorics, Lift (mathematics), Graphic matroid, Free product, Computer Science::Discrete Mathematics, 010201 computation theory & mathematics, Artificial Intelligence, 0202 electrical engineering, electronic engineering, information engineering, Higgs boson, 020201 artificial intelligence & image processing, Computer Science::Data Structures and Algorithms, Mathematics
Abstract

In this paper, motivated by the free product of crisp matroids, the free product of M-fuzzifying matroids is defined when M is a finite Boolean algebra and a number of fundamental properties of the operation are derived. Parallel to crisp matroids, the minors of M-fuzzifying matroids are described in terms of the M-fuzzifying truncation operator and its dual, the M-fuzzifying Higgs lift operator.

Published
2016

38. Stratified simplex method for solving fuzzy multi-objective linear programming problem

Author

Qiu-mei Liu and Fu-Gui Shi

Subjects
Statistics and Probability, Mathematical optimization, Linear programming, Mathematics::General Mathematics, General Engineering, Fuzzy linear programming, Fuzzy logic, Defuzzification, ComputingMethodologies_PATTERNRECOGNITION, Simplex algorithm, Fuzzy transportation, Artificial Intelligence, Fuzzy number, Fuzzy set operations, Mathematics
Abstract

This paper is to deal with a kind of fuzzy multi-objective linear programming (FMOLP) problem with symmetric trapezoidal fuzzy numbers. Several methods has been proposed in order to obtain fuzzy efficient solution to FMOLP problem. In this paper, we change FMOLP problem into the complete stratified fuzzy linear programming problem, then use the stratified simplex method to obtain the fuzzy optimal solution directly without converting them to crisp linear programming problem. We then prove that this fuzzy optimal solution is the fuzzy efficient solution of the original FMOLP problem. A numerical example is given to illustrate the proposed method.

Published
2015

39. The restricted hull operator of M-fuzzifying convex structures1

Author

Erqiang Li and Fu-Gui Shi

Subjects
Statistics and Probability, Convex hull, Combinatorics, Convex analysis, Artificial Intelligence, Convex polytope, General Engineering, Convex set, Convex combination, Subderivative, Convex conjugate, Orthogonal convex hull, Mathematics
Abstract

In this paper, the notion of M-fuzzifying restricted hull operators is introduced and several equivalent characterizations are given. It is shown that there is a one-to-one correspondence between M-fuzzifying restricted hull operators and M-fuzzifying convex structures. As applications, some properties of the cut convex structures of an M-fuzzifying convex structure and of M-fuzzifying convexity preserving functions and of M-fuzzifying convex-to-convex functions are derived. In addition, using M-fuzzifying restricted hull operators, some M-fuzzifying convexities are naturally constructed from M-fuzzy quasi-orders.

Published
2015

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