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Journal ArticleDOI

Bipolar fuzzy graph representation of concept lattice

Prem Kumar Singh, +1 more
- 20 Dec 2014 - 
- Vol. 288, pp 437-448
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TLDR
This work proposes an algorithm for generating the bipolar fuzzy formal concepts, a method for ( α, β ) -cut ofipolar fuzzy formal context and its implications with illustrative examples.
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This article is published in Information Sciences.The article was published on 2014-12-20. It has received 112 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.

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Citations
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Journal ArticleDOI

A comparative study of multigranulation rough sets and concept lattices via rule acquisition

TL;DR: This study investigates the relationship between multigranulation rough sets and concept lattices via rule acquisition and algorithm complexity analysis is made for the acquisition of "AND" decision rules, "OR" decisionrules, granular rules and disjunctive rules.
Journal ArticleDOI

Three-way fuzzy concept lattice representation using neutrosophic set

TL;DR: A method is proposed to generate the component wise three-way formal fuzzy concept and their hierarchical order visualization in the fuzzy concept lattice using the properties of neutrosophic graph, neutrosophile lattice, and Gödel residuated lattice with an illustrative example.
Journal ArticleDOI

Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process

TL;DR: A model for multiple attribute decision-making problem for bipolar fuzzy Dombi aggregation operators under the bipolar fuzzy environment is developed and a practical example for selection of investment alternatives is given.
Journal ArticleDOI

Comparison of reduction in formal decision contexts

TL;DR: It is concluded that Li's reduction maintaining the non-redundant decision rules of a formal decision context is coarser than others, and the results obtained are beneficial for users to select an appropriate reduction method for meeting their requirements.
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A comprehensive survey on formal concept analysis, its research trends and applications

TL;DR: This paper aims to provide an understanding of the necessary mathematical background for each extension of FCA like FCA with granular computing, a fuzzy setting, interval-valued, possibility theory, triadic, factor concepts and handling incomplete data.
References
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Journal ArticleDOI

Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier

TL;DR: The notion of a real set as an extension of a crisp and a fuzzy set is introduced by using sequences of intervals as membership degrees, instead of a single value in [0,1].
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Note on generating fuzzy concept lattices via Galois connections

TL;DR: An approach of creating fuzzy concept lattices proposed by Popescu is compared with several other approaches and it is shown that this approach is in some way equivalent to the approach of Krajci called generalized concept lattice.
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On heterogeneous formal contexts

TL;DR: A new type of fuzzification for formal concept analysis that works with heterogeneous values in a context and is a generalization of the previous approaches: it covers the so-called generalized concept lattice and multi-adjoint t-concept lattices.
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A fuzzy conceptualization model for text mining with application in opinion polarity classification

TL;DR: A novel classification framework based on fuzzy formal concept analysis to conceptualize documents into a more abstract form of concepts, and use these as the training examples to alleviate the arbitrary outcomes caused by ambiguous terms is proposed.
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On rule acquisition in decision formal contexts

TL;DR: This study proposes a new algorithm with less time complexity for deriving the non-redundant decision rules from a decision formal context and invesigate decision rules and the granular rules in the consistent decision formal contexts and makes a contrast between the decision rule oriented knowledge reduction and thegranular ruleoriented knowledge reduction.
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