Some Relationships Between Fuzzy Sets, Mathematical Morphology, Rough Sets, F-Transforms, and Formal Concept Analysis-Reference-Cited by-同舟云学术

Some Relationships Between Fuzzy Sets, Mathematical Morphology, Rough Sets, F-Transforms, and Formal Concept Analysis

Published:2016-12 Issue:Suppl. 2 Volume:24 Page:1-32
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

Atif Jamal¹,Bloch Isabelle²,Hudelot Céline³

Affiliation:

1. Université Paris-Dauphine, PSL Research University, CNRS, UMR 7243, LAMSADE, 75016 Paris, France

2. LTCI, Télécom ParisTech, Université Paris-Saclay, Paris, France

3. MICS, CentraleSupélec, Université Paris-Saclay, France

Abstract

In this paper we extend some previously established links between the derivation operators used in formal concept analysis and some mathematical morphology operators to fuzzy concept analysis. We also propose to use mathematical morphology to navigate in a fuzzy concept lattice and perform operations on it. Links with other lattice-based for malisms such as rough sets and F-transforms are also established. This paper proposes a discussion and new results on such links and their potential interest.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488516400080

Reference33 articles.

1. Modal Logics Based on Mathematical Morphology for Qualitative Spatial Reasoning

2. Explanatory Reasoning for Image Understanding Using Formal Concept Analysis and Description Logics

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