Theory of Multitudes as an Alternative to the Set Theory
Cyril A. Pshenichny · Advances in web technologies and engineering book series · 2018
The initial goal of the research reported in this chapter was to develop an extension of the set theory able to handle the meanings of concepts. However, this purpose led not to extension of the said theory but to development of a new one, and this chapter presents an outline of a newly constructed theory of multitudes, which nevertheless seems to share some of the features of the set theory. Still, its approach is to clearly separate the qualitative and quantitative concerns, and first formalize the qualitative one, based on the vision communicated by natural languages. Though still not entirely formal, the proposed theory is seen to provide a common ground for a wide spectrum of independent knowledge engineering and representation techniques.