Research on Selecting a Sublattice Based on L-Context

In this paper, given a binary relation, we represented the relationship between a fuzzy graph and a fuzzy concept lattice. We introduced one of the most useful notions in Graph Theory--minimal separator. In order to make decision-making much easier, the number of concepts can be reduced by selecting a sublattice via saturating the minimal separator of a given concept, a method also proposed when converting L-context to classical context. In the end, we discussed a few open issues.

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Single-valued Plithogenic graph for handling multi-valued attribute data and its context

International Journal of Neutrosophic Science ◽

10.54216/ijns.150204 ◽

2021 ◽

Author(s):

Prem Kumar Singh ◽

Keyword(s):

Decision Making ◽

Data Science ◽

Concept Lattice ◽

Current Paper ◽

Fuzzy Concept Lattice ◽

Attribute Data ◽

Fuzzy Concept

Recently, several researchers paid attention to dealing with uncertainty in data with neutrosophic attributes. In this process, a problem is addressed while dealing with contradiction and its impact on decision-making. It is considered as one of the major issues for data science researchers working in a three-way fuzzy concept lattice. To deal with this issue, the current paper tried to introduce the algebra of a single-valued Plithogenic graph and its visualization based on infimum and supremum. The proposed method is also demonstrated with an illustrative example for better understanding.

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Fuzzy graph representation of a fuzzy concept lattice

Fuzzy Sets and Systems ◽

10.1016/j.fss.2009.10.027 ◽

2010 ◽

Vol 161 (12) ◽

pp. 1669-1675 ◽

Cited By ~ 41

Author(s):

Partha Ghosh ◽

Krishna Kundu ◽

Debasis Sarkar

Keyword(s):

Concept Lattice ◽

Graph Representation ◽

Fuzzy Graph ◽

Fuzzy Concept Lattice ◽

Fuzzy Concept

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Fuzzy Concept Lattice Based Event Composition Model

DEStech Transactions on Engineering and Technology Research ◽

10.12783/dtetr/iceeac2017/10736 ◽

2017 ◽

Author(s):

Zhong-Hai YIN ◽

Ya-Nan CHU

Keyword(s):

Concept Lattice ◽

Fuzzy Concept Lattice ◽

Fuzzy Concept

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A New Multi-Attribute Decision Making Method with Single-Valued Neutrosophic Graphs

10.54216/ijns.0110202 ◽

2020 ◽

pp. 76-86

Author(s):

admin admin ◽

◽

Wenhui Bai ◽

...

Keyword(s):

Decision Making ◽

Graph Theory ◽

Comparative Analysis ◽

Fuzzy Graph ◽

Neutrosophic Sets ◽

Inconsistent Information ◽

Operational Laws ◽

Engineering Economy ◽

Multi Attribute Decision Making

In most realistic situations, the theory and method of multi-attribute decision-making have been widely used in different fields, such as engineering, economy, management, military, and others. Although many studies in some extended fuzzy contexts have been explored with multi-attribute decision-making, it is widely recognized that single-valued neutrosophic sets can describe incomplete, indeterminate and inconsistent information more easier. In this paper, aiming at addressing multi-attribute decision-making problems with single-valued neutrosophic information, related models and multi-attribute decision-making approaches based on the fuzzy graph theory are studied. In specific, the notion of single-valued neutrosophic sets and graphs is firstly introduced together with several common operational laws. Then a multi-attribute decision making method based on single-valued neutrosophic graphs is established. Finally, an illustrative example and a comparative analysis are conducted to verify the feasibility and efficiency of the proposed method.

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