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MATHEMATICAL OBJECTS GENERATED BY AN ARBITRARY NATURAL NUMBER

Krassimir Atanassov

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Year of Publication: 2024

Cover Type: Soft

Category: Mathematics

Edition: First Edition

Pages: 124

Format: n/a

Language: English

Summary

If we take an arbitrary natural number n, we can construct the set Set(n) and over it, we can introduce different operations. In the book, the basic properties of this set and these operations are studied. In addition, on the basis of the set Set(n) different mathematical objects can be constructed: semi-groups and monoids, lattices and (conditionally sayed) special topological structures, called modal topological structures and feeble modal topological structures. Some open problems are formulated, the solution of which will develop the new area of number theory.

Аbout The Author

• Krassimir Atanassov: Krassimir Atanasov studies at the Faculty of Mathematics of Sofia University "St. Kliment Ohridski ”and defended his doctoral dissertation in 1986. He became a doctor of technical sciences in 2000. Since 1998 is a professor at the Center for Biomedical Engineering at BAS. He is the editor-in-chief of 4 international magazines and is a member of the editorial boards of 11 others. His research interests are in the field of fuzzy sets (he introduces the subject "intuitionistic fuzzy sets" and explores its basic properties and some of its applications in expert systems, systems theories, decision making, drugs, etc.). He has about 500 articles in journals , 300 press conference reports and 28 books.