Propositional Compilation for All Normal Parameter Reductions of a Soft Set

Han, Banghe; Li, Xiaonan

doi:10.1007/978-3-319-11740-9_18

Cited by 3 publications

(7 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many researchers have made contributions to this problem [38]- [41] . A method for integrating all normal parameter reductions of a soft set into a propositional logic formula is pro-posed in [42]. Ma et al [43] pointed out an important property of normal parameter reduction of soft sets, by which the workload for finding candidates can be reduced.…”

Section: B Normal Parameter Reduction Of Soft Set and The Matrix Of mentioning

confidence: 99%

“…The matrix of dominant support parameters was brought in and investigated in [42], [44], [45]. It has been proved in [44] that the parameter reduction problems of soft sets can be translated as 0-1 linear programming problems.…”

Section: B Normal Parameter Reduction Of Soft Set and The Matrix Of mentioning

confidence: 99%

“…Example 2.1 [44] Definition 2.4 [42], [44], [45] (Dominant support parameters) Given a soft set S = (F, A) over U ,…”

Section: Preliminariesmentioning

confidence: 99%

“…These superscripts in arbitrary entry of TABLE 8 can be divided into two parts. The matrix of dominant support parameters [42], [44] was inspired by the following idea: for each pair of objects u i , u j , we define D S (i, j) to be the set of parameters, for which u i has a high value than u j , i.e., F (u i , e) = 1 and F (u j , e) = 0.…”

Section: A Theories For Decision Making With the Matrix Of Dominant mentioning

confidence: 99%

See 3 more Smart Citations

Characterizations for Matrices of Dominant Support Parameters in Soft Sets

Han

Nie

et al. 2020

IEEE Access

Self Cite

View full text Add to dashboard Cite

Section: B Normal Parameter Reduction Of Soft Set and The Matrix Of mentioning

confidence: 99%

Section: B Normal Parameter Reduction Of Soft Set and The Matrix Of mentioning

confidence: 99%

“…Example 2.1 [44] Definition 2.4 [42], [44], [45] (Dominant support parameters) Given a soft set S = (F, A) over U ,…”

Section: Preliminariesmentioning

confidence: 99%

Section: A Theories For Decision Making With the Matrix Of Dominant mentioning

confidence: 99%

See 2 more Smart Citations

Characterizations for Matrices of Dominant Support Parameters in Soft Sets

Han

Nie

et al. 2020

IEEE Access

Self Cite

View full text Add to dashboard Cite

“…. In 2016, HAN [8][9] proposed the concept of a dominance matrix, which is used to represent the dominance relationship of each object in the information system, that is, for any object, its parameter information is superior to other objects. In 2018, Wu Wenxue [10] and others proposed a new definition of distance and similarity for interval intuition hesitant fuzzy sets by introducing hesitation degree into interval intuition hesitant fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Dominance relation similarity measure based on fuzzy hypergraph dominance matrix

Dang

Geng

2023

Second International Conference on Digital Society and Intelligent Systems (DSInS 2022)

View full text Add to dashboard Cite

Similarity measures play an important role in ambiguous environments. Fuzzy hypergraph theory can carry out relatively rich information description and operation in the process of dealing with uncertain problems. The dominance matrix of the fuzzy hypergraph describes the dominance relationship of the attributes of different objects in the information system composed of the fuzzy hypergraph. In this paper, by constructing the dominance matrix of fuzzy hypergraphs, the Euclidean distance is used to solve the similarity of the dominance relationship between the information systems constructed by different fuzzy hypergraphs. By discussing the relationship between fuzzy sets and fuzzy hypergraphs, an algorithm for solving the similarity of dominant relations between fuzzy hypergraphs is proposed. In order to test the efficiency and reliability of the method, this paper uses multiple examples and solves it with the proposed method, which proves the rationality and effectiveness of the proposed method.

show abstract