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# Krassimir Atanassov

**Krassimir Todorov Atanassov** (23 March 1954, Burgas, Bulgaria) is a Bulgarian mathematician. He is best known for launching the concepts of Generalized nets and Intuitionistic fuzzy sets, which are extensions of the concepts of Petri nets and Fuzzy sets, respectively. Atanassov is also known for his research in the area of number theory.

## Education

Krassimir Atanassov graduated mathematics in the Sofia University, Sofia, in 1978, and defended his PhD in 1986. He became Doctor of Technical (computer) Sciences in 1997, with a doctor thesis on Generalized nets, and three years later defended a second degree - Doctor of Mathematical Sciences, with a thesis in the other field of his scientific interest - Intuitionistic fuzzy sets.

Honorary Associate of the University of Technology, Sydney, since 1995. Member of the Union of Bulgarian Mathematicians since 1979, and of the American Mathematical Society since 1989.

Since 1995 he has been working in the Centre of Biomedical Engineering at the Bulgarian Academy of Sciences, currently being the head of the "Biomedical Informatics" department.

## Editorial board membership

- Editor-in-Chief of:

*Notes on Intuitionistic Fuzzy Sets*(since 1995)*Notes on Number Theory and Discrete Mathematics*(since 1995)*Advanced Studies in Contemporary Mathematics*(since 2001)

- Managing Editor of:

*Proceedings of the Jangjeon Mathematical Society*(since 2002)

- Member of the Editorial Boards of:

*AMSE Press - Modelling, Measurement & Analysis*(since 1994)*Smarandache Notion Journal*(since 1999)*Analele Universitatii din Oradea-Fasc. Matematica*(since 2001)*Italian Journal on Pure and Applied Mathematics*(since 2002)

## Research

#### Generalized nets

In 1983 Atanassov introduced the object "Generalized net" and investigated its basic properties, as well as some of its applications in artificial intelligence, systems theory, medicine, economics, transportation, chemical industry and others.

He has defined a lot of operations and relations over generalized nets, part of which have analogues in the theory of ordinary Petri nets. However, the operator, topological and logical aspects he has introduced have no analogue in Petri nets theory.

#### Intuitionistic fuzzy sets

The other fundamental field of research interest for Atanassov are Intuitionistic fuzzy sets, which are an extension of the concept of Fuzzy sets as defined by Lotfi Zadeh. Atanassov researches the properties of IFS and has also initiated the applications of IFS in expert systems, systems theory, decision making and other scientific areas.

He has studied and defined a lot of operations and relations over intuitionistic fuzzy sets, part of which have analogues in the theory of fuzzy sets. Without analogues in traditional fuzzy set theory are the operators on modal, topological, level, which Atanassov introduced and researched.

## Bibliography

Krassimir Atanassov has published about 370 papers in journals, 140 conference reports, 20 monographs.

**Monographs in Generalized nets**

- Atanassov K.,
*Generalized Nets*, World Scientific, Singapore, New Jersey, London, 1991. - Atanassov K.,
*Introduction to the Theory of the Generalized Nets*" (Burgas, Pontica Print, 1992; in Bulgarian) - Shannon A., J. Sorsich, K. Atanassov.
*Generalized Nets in Medicine*. "Prof. M. Drinov" Academic Publishing House, Sofia, 1996. - Atanassov K.,
*Generalized Nets and Systems Theory*, "Prof. M. Drinov" Academic Publishing House, Sofia, 1997. - Atanassov K., M. Daskalov, P. Georgiev, S. Kim, Y. Kim, N. Nikolov, A., Shannon, J. Sorsich.
*Generalized Nets in Neurology*. "Prof. M. Drinov" Academic Publishing House, Sofia, 1997. - Shannon A., J. Sorsich, K. Atanassov, N. Nikolov, P. Georgiev.
*Generalized Nets in General and Internal Medicine. Volume 1*. "Prof. M. Drinov" Academic Publishing House, Sofia, 1998. - Atanassov K.,
*Generalized Nets in Artificial Intelligence. Volume 1: Generalized Nets and Expert Systems*, "Prof. M. Drinov" Academic Publishing House, Sofia, 1998. - Atanassov K., H. Aladjov.
*Generalized Nets in Artificial Intelligence. Volume 2: Generalized Nets and Machine Learning*. "Prof. M. Drinov" Academic Publishing House, Sofia, 1998. - Shannon A., J. Sorsich, K. Atanassov, N. Nikolov, P. Georgiev.
*Generalized Nets in General and Internal Medicine. Volume 2*. "Prof. M. Drinov" Academic Publishing House, Sofia, 1999. - Shannon, A., J. Sorsich, K. Atanassov, N. Nikolov, P. Georgiev.
*Generalized Nets in General and Internal Medicine. Volume 3*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2000. - Atanassov, K., A. Shannon, C. Wong.
*Generalized Nets and Cognitive Science*. KvB Visual Concepts Pty Ltd, Monograph No. 2, Sydney, 2000. - Shannon, A., J. Sorsich, K. Atanassov, V. Radeva.
*Generalized Net Interpretations of Ivan Dimitrov's Informational Theory of Diseases*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2001. - Sorsich J., A. Shannon, K. Atanassov.
*Generalized Net in Child Neurology*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2002. - Atanassov, K., G. Gluhchev, S. Hadjitodorov, A. Shannon, V. Vassilev.
*Generalized Nets and Pattern Recognition*. KvB Visual Concepts Pty Ltd, Monograph No. 6, Sydney, 2003. - Shannon A., O. Roeva, T. Pencheva, K. Atanassov.
*Generalized Nets Modelling of Biotechnological Processes*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2004. - Shannon, A., D. Langova-Orozova, E. Sotirova, I. Petrounias, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim.
*Generalized Net Modelling of University Processes*. KvB Visual Concepts Pty Ltd, Monograph No. 7, Sydney, 2005. - Kolev, B., E. El-Darzi, E. Sotirova, I. Petrounias, K. Atanassov, P. Chountas, V. Kodogiannis.
*Generalized Nets in Artificial Intelligence. Volume 3: Generalized Nets, Relation Databases and Expert Systems*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2006. - Chountas, P., B. Kolev, E. Rogova, V. Tasseva, K. Atanassov.
*Generalized Nets in Artificial Intelligence. Volume 4: Generalized Nets, Uncertain Data and Knowledge Engineering*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2007. - Atanassov, K.,
*On Generalized Nets Theory*. "Prof. M. Drinov" Academic Publishing House, Sofia, 2007.

**Monographs in Intuitionistic fuzzy sets**

- Atanassov K.,
*Intuitionistic Fuzzy Sets: Theory and Applications*, Springer-Verlag, Heidelberg, 1999.

**Monographs in Number theory**

- Atanassov K.,
*On Some of the Smarandache's Problems*. American Research Press, Lupton, 1999. - Atanassov K., V. Atanassova, A. Shannon, J. Turner.
*New Visual Perspectives on Fibonacci Numbers*. World Scientific, New Jersey, 2002. - Vassilev-Missana, M., K. Atanassov.
*Some Smarandache Problems*, Hexis, Phoenix, 2004.

**Others**

- Atanassov K.,
*Short Course on the Mathematical Foundations of Informatics*. International College, Dobrich, 2010 (in Bulgarian).