On algebraic foundations of information granulation III. Investigating the HATA-MUKAIDONO approach

Abstract

In his paper "Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic" L.A. Zadeh writes "Granulation of an object A leads to a collection of granules of A, with a granule being a clump of points (objects) drawn together by indistinguishability, similarity, proximity or functionality". Besides others, the paper presented is a further step to develop a systematic mathematical theory fitting Zadeh's approach. In particular, the paper deals with further conceptional considerations and mathematical investigations of the approach suggested by Y. Hata and M. Mukaidono for defining "some classes of fuzzy information granularity and their representations".