Variable precision rough set model
Journal of Computer and System Sciences
Tolerance approximation spaces
Fundamenta Informaticae - Special issue: rough sets
Parts, wholes, and part-whole relations: the prospects of mereotopology
Data & Knowledge Engineering - Special issue on modeling parts and wholes
Rough sets through algebraic logic
Fundamenta Informaticae - Special issue: to the memory of Prof. Helena Rasiowa
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Mathematical Foundations
Rough Sets: Mathematical Foundations
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
Structures in Logic and Computer Science, A Selection of Essays in Honor of Andrzej Ehrenfeucht
Generalized Rough Sets and Rule Extraction
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
Pretopologies and dynamic spaces
Fundamenta Informaticae - Special issue on the 9th international conference on rough sets, fuzzy sets, data mining and granular computing (RSFDGrC 2003)
Topological approaches to covering rough sets
Information Sciences: an International Journal
Fundamenta Informaticae - Contagious Creativity - In Honor of the 80th Birthday of Professor Solomon Marcus
Fundamenta Informaticae
Formal reasoning with rough sets in multiple-source approximation systems
International Journal of Approximate Reasoning
Discrete Duality and Its Applications to Reasoning with Incomplete Information
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
Consistency-Degree Between Knowledges
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
Relationship between generalized rough sets based on binary relation and covering
Information Sciences: an International Journal
A Geometry of Approximation: Rough Set Theory Logic, Algebra and Topology of Conceptual Patterns (Trends in Logic)
Transactions on Rough Sets IX
On Certain Rough Inclusion Functions
Transactions on Rough Sets IX
A Categorial Basis for Granular Computing
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Granular Sets --- Foundations and Case Study of Tolerance Spaces
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Approximation Algebra and Framework
Fundamenta Informaticae - Fundamentals of Knowledge Technology
Lattices with Interior and Closure Operators and Abstract Approximation Spaces
Transactions on Rough Sets X
Generalized rough sets, entropy, and image ambiguity measures
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Covering Based Approaches to Rough Sets and Implication Lattices
RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
MGRS: A multi-granulation rough set
Information Sciences: an International Journal
Algebraic Semantics of Similarity-Based Bitten Rough Set Theory
Fundamenta Informaticae
Granular computing based on a generalized approximation space
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Propositional logics from rough set theory
Transactions on rough sets VI
Formal topology and information systems
Transactions on rough sets VI
Transactions on rough sets VI
Reasoning about concepts by rough mereological logics
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Some rough consequence logics and their interrelations
Transactions on rough sets VIII
Esoteric rough set theory: algebraic semantics of a generalized VPRS and VPFRS
Transactions on rough sets VIII
Choice inclusive general rough semantics
Information Sciences: an International Journal
Rough approximation operators in covering approximation spaces
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
Rough sets and vague concept approximation: from sample approximation to adaptive learning
Transactions on Rough Sets V
A non-controversial definition of fuzzy sets
Transactions on Rough Sets II
Algebraic structures for rough sets
Transactions on Rough Sets II
Rough mereology as a link between rough and fuzzy set theories. a survey
Transactions on Rough Sets II
Semantics of fuzzy sets in rough set theory
Transactions on Rough Sets II
Incomplete Multigranulation Rough Set
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Axiomatic granular approach to knowledge correspondences
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
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New concepts of rough natural number systems are introduced in this research paper from both formal and less formal perspectives. These are used to improve most rough set-theoretical measures in general Rough Set theory (RST) and to represent rough semantics. The foundations of the theory also rely upon the axiomatic approach to granularity for all types of general RST recently developed by the present author. The latter theory is expanded upon in this paper. It is also shown that algebraic semantics of classical RST can be obtained from the developed dialectical counting procedures. Fuzzy set theory is also shown to be representable in purely granule-theoretic terms in the general perspective of solving the contamination problem that pervades this research paper. All this constitutes a radically different approach to the mathematics of vague phenomena and suggests new directions for a more realistic extension of the foundations of mathematics of vagueness from both foundational and application points of view. Algebras corresponding to a concept of rough naturals are also studied and variants are characterised in the penultimate section.