Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Near Sets. Special Theory about Nearness of Objects
Fundamenta Informaticae - New Frontiers in Scientific Discovery - Commemorating the Life and Work of Zdzislaw Pawlak
Features for image retrieval: an experimental comparison
Information Retrieval
Nearness of Objects: Extension of Approximation Space Model
Fundamenta Informaticae - Special Issue on Concurrency Specification and Programming (CS&P)
Information Sciences: an International Journal
Rough Fuzzy Image Analysis: Foundations and Methodologies
Rough Fuzzy Image Analysis: Foundations and Methodologies
Perceptual tolerance intersection
RSCTC'10 Proceedings of the 7th international conference on Rough sets and current trends in computing
Nature-inspired framework for measuring visual image resemblance: A near rough set approach
Theoretical Computer Science
Tolerance spaces: Origins, theoretical aspects and applications
Information Sciences: an International Journal
A characterization of rough separability
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
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This paper elaborates on the introduction of perceptual tolerance intersection of sets as an example of a near set operation. Such operations are motivated by the need to consider similarities between digital images viewed as disjoint sets of points. The proposed approach is in keeping with work by E.C. Zeeman on tolerance spaces and visual perception and work by J.H. Poincaré on sets of similar sensations used to define representative spaces (aka tolerance spaces) such as visual, tactile and motile spaces. Perceptual tolerance intersection of sets is a direct consequence of recent work on near sets. The theory of perceptual set intersection has many practical applications such as a solution to the problem of how one goes about measuring the closeness of digital images. The main contribution of this article is a description-based approach to formulating perceptual set intersections between disjoint sets that resemble each other. A practical application of the proposed approach is the discovery of resemblances between sets of points in digital image regions that represent tolerance rough sets.