Wednesday, 12 January 2022

Study of Relations’ Properties Compatibility | Chapter 10 | Recent Advances in Mathematical Research and Computer Science Vol. 6

 This post is a follow-up to my previous study [1]. The circumstances for the emergence of tolerance are examined in the first section - the uncertainty in the definition of the diagonal for such sets leads to it. Furthermore, it was demonstrated that the previously indicated property manifestations of relations cannot occur inadvertently or independently on each other. It was also demonstrated that only reflexive antisymmetric transitive relations may be used to make set ordering. There was also some ambiguity in the concept of an idempotent element among relations. The works [6–14] detail general definitions of set theory (such as ordered and unordered pairs, set union and intersection, and so on).


Author(S) Details

Mikhail A. Mikhaylov
Research Development Institute for Physical Problems, Zelenograd, Moscow, Russia.

View Book:- https://stm.bookpi.org/RAMRCS-V6/article/view/5313

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