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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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Book ChapterDOI

Fuzzy Lattice-Based Orthogonal Image Transformation Technique for Natural Image Analysis

TL;DR: To reduce the computational complexity by optimizing the number of granules between pixels and improving the PSNR through linear fuzzy transform, a method called Euclidean Fuzzy Lattice Orthogonal Image Transform (EFL-OIT) has been presented.
References
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Book

Formal Concept Analysis: Mathematical Foundations

TL;DR: This is the first textbook on formal concept analysis that gives a systematic presentation of the mathematical foundations and their relation to applications in computer science, especially in data analysis and knowledge processing.
Book ChapterDOI

Restructuring lattice theory: an approach based on hierarchies of concepts

TL;DR: Restructuring lattice theory is an attempt to reinvigorate connections with the authors' general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattices theory.
Journal ArticleDOI

The information sciences

TL;DR: Through a human centered design project focused on an information science problem, students will gain experience and a better understanding of the process to develop an innovative solution addressing a societal need.
Journal ArticleDOI

Concept lattices and order in fuzzy logic

TL;DR: A theorem is presented characterizing the hierarchical structure of formal fuzzy concepts arising in a given formal fuzzy context, Dedekind–MacNeille completion of a partial fuzzy order and results provide foundations for formal concept analysis of vague data.
Proceedings ArticleDOI

Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis

TL;DR: It is proved that /spl alpha/-level fuzzy number-based bipolar operations can be converted to interval-based and then real-valued bipolar operations and the conversions lead to significant computational simplification on bipolar fuzzy relations.
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