Approximation Spaces Based on Relations of Similarity and Dissimilarity of Objects

Authors:
Anna Gomolińska
Affiliations:
Department of Mathematics, University of Białystok Akademicka 2, 15267 Białystok, Poland. E-mail: anna.gom@math.uwb.edu.pl
Venue:
Fundamenta Informaticae - Special Issue on Concurrency Specification and Programming (CS&P)
Year:
2007

Citing 9
Cited 5

On conflicts

International Journal of Man-Machine Studies
Variable precision rough set model

Journal of Computer and System Sciences
Rough membership functions

Advances in the Dempster-Shafer theory of evidence
Tolerance approximation spaces

Fundamenta Informaticae - Special issue: rough sets
An inquiry into anatomy of conflicts

Information Sciences: an International Journal
Conflict analysis

Rough set methods and applications
Rough Sets: Theoretical Aspects of Reasoning about Data

Rough Sets: Theoretical Aspects of Reasoning about Data
A comparative study of some generalized rough approximations

Fundamenta Informaticae
Handling Missing Values in Rough Set Analysis of Multi-Attribute and Multi-Criteria Decision Problems

RSFDGrC '99 Proceedings of the 7th International Workshop on New Directions in Rough Sets, Data Mining, and Granular-Soft Computing

Satisfiability of Formulas from the Standpoint of Object Classification: The RST Approach

Fundamenta Informaticae - Concurrency Specification and Programming (CS&P)
Unit operations in approximation spaces

RSCTC'10 Proceedings of the 7th international conference on Rough sets and current trends in computing
Gauges, pregauges and completions: some theoretical aspects of near and rough set approaches to data

RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
Nearness approximation space based on axiomatic fuzzy sets

International Journal of Approximate Reasoning
Satisfiability judgement under incomplete information

Transactions on Rough Sets XI

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this article, we aim at extension of similarity-based approximation spaces to the case, where both similarity and dissimilarity of objects are taken into account. Apart from the wellknown notions of lower rough approximation, upper rough approximation, and variable-precision positive regions of concepts, adapted to our case, the notions of exterior, possibly negative region, and ignorance region of concepts are introduced and investigated.