Krassimir Todorov Atanassov (

Bulgarian Bulgarian may refer to: * Something of, from, or related to the country of Bulgaria * Bulgarians, a South Slavic ethnic group * Bulgarian language, a Slavic language * Bulgarian alphabet * A citizen of Bulgaria, see Demographics of Bulgaria * Bul ...

: Красимир Тодоров Атанасов; 23 March 1954,

Burgas Burgas ( bg, Бургас, ), sometimes transliterated as ''Bourgas'', is the second largest city on the Bulgarian Black Sea Coast in the region of Northern Thrace and the fourth-largest in Bulgaria after Sofia, Plovdiv, and Varna, with a popu ...

Bulgaria Bulgaria (; bg, България, Bǎlgariya), officially the Republic of Bulgaria,, ) is a country in Southeast Europe. It is situated on the eastern flank of the Balkans, and is bordered by Romania to the north, Serbia and North Macedon ...

) is a Bulgarian mathematician, Corresponding member of the

Bulgarian Academy of Sciences The Bulgarian Academy of Sciences (abbreviated BAS; bg, Българска академия на науките, ''Balgarska akademiya na naukite'', abbreviated ''БАН'') is the National Academy of Bulgaria, established in 1869. The Academy ...

(2012). He is best known for introducing the concepts of Generalized nets and Intuitionistic fuzzy sets, which are extensions of the concepts of

Petri nets A Petri net, also known as a place/transition (PT) net, is one of several mathematical modeling languages for the description of distributed systems. It is a class of discrete event dynamic system. A Petri net is a directed bipartite graph that ...

and

Fuzzy sets In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set. At the same time, defined ...

, respectively.

Biography

Krassimir Atanassov graduated mathematics in the

Sofia University Sofia University, "St. Kliment Ohridski" at the University of Sofia, ( bg, Софийски университет „Св. Климент Охридски“, ''Sofijski universitet „Sv. Kliment Ohridski“'') is the oldest higher education i ...

Sofia Sofia ( ; bg, София, Sofiya, ) is the capital and largest city of Bulgaria. It is situated in the Sofia Valley at the foot of the Vitosha mountain in the western parts of the country. The city is built west of the Iskar river, and ha ...

, 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 higher doctorate, Doctor of Mathematical Sciences, with a thesis in the other field of his scientific interest - intuitionistic fuzzy sets. Since 1995 he has been working in the Centre of Biomedical Engineering at the Bulgarian Academy of Sciences, which in 2010 was merged into the Institute of Biophysics and Biomedical Engineering. In 1998, he became full professor and in 2012 was elected Corresponding member of the Bulgarian Academy of Sciences. In 2013, he was awarded the "Pythagoras" Award for considerable contribution to science (Technical Sciences), awarded by the Ministry of Education and Science of Bulgaria. In 2013, he was elected Fellow of the

International Fuzzy Systems Association International is an adjective (also used as a noun) meaning "between nations". International may also refer to: Music Albums * ''International'' (Kevin Michael album), 2011 * ''International'' (New Order album), 2002 * ''International'' (The T ...

Expertise

Other research activities of Professor Atanassov are: ''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) * "Annual of the Informatics Section", Union of Bulgarian Scientists (since 2008) * "Proceedings of the Jangjeon Mathematical Society" (since 2002) ''Member of the Editorial Boards of:'' * "New Mathematics and Natural Computation" (since 1999) * "Italian Journal of Pure and Applied Mathematics" (since 2002) * "International Journal Bioautomation" (since 2008)Editorial Board of IJ Bioautomation
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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 Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech re ...

systems theory Systems theory is the interdisciplinary study of systems, i.e. cohesive groups of interrelated, interdependent components that can be natural or human-made. Every system has causal boundaries, is influenced by its context, defined by its structu ...

, medicine, economics, transportation, chemical industry and others. He was the engine of the theoretical research on the area of Generalized nets, and promoted much of the applied research. He has defined a lot of operations and relations over generalized nets, part of which have analogues in the theory of ordinary

. However, the topological and logical operators he has introduced have no analogue in Petri nets theory.

Intuitionistic fuzzy sets

The other fundamental field of research interest for Atanassov are

, defined by

Lotfi Zadeh Lotfi Aliasker Zadeh (; az, Lütfi Rəhim oğlu Ələsgərzadə; fa, لطفی علی‌عسکرزاده; 4 February 1921 – 6 September 2017) was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, an ...

, which he significantly extended by launching the concept of "Intuitionistic Fuzzy Sets" and investigated their basis properties. He has also initiated the applications of Intuitionistic fuzzy sets in

expert systems In artificial intelligence, an expert system is a computer system emulating the decision-making ability of a human expert. Expert systems are designed to solve complex problems by reasoning through bodies of knowledge, represented mainly as if� ...

decision making In psychology, decision-making (also spelled decision making and decisionmaking) is regarded as the cognitive process resulting in the selection of a belief or a course of action among several possible alternative options. It could be either rati ...

and others. 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. Intuitionistic fuzzy sets are also often referred to in the literature as "Atanassov fuzzy sets" or "Atanassov intuitionistic fuzzy sets".

Bibliography

Monographs in Generalized nets * Atanassov K., ''Generalized Nets'', World Scientific, Singapore, New Jersey, London, 1991. * Atanassov K., ''Introduction in 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. Vol. 1''. "Prof. M. Drinov" Academic Publishing House, Sofia, 1998. * Atanassov K., ''Generalized Nets in Artificial Intelligence. Vol. 1: Generalized nets and Expert Systems'', "Prof. M. Drinov" Academic Publishing House, Sofia, 1998. * Atanassov K., H. Aladjov. ''Generalized Nets in Artificial Intelligence. Vol. 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. Vol. 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. Vol. 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 Dimirtov'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. Monographs in Intuitionistic fuzzy sets * Atanassov K., ''Intuitionistic Fuzzy Sets: Theory and Applications'',

Springer-Verlag Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...

, Heidelberg, 1999. * Atanassov K. ''On Intuitionistic Fuzzy Sets Theory'',

Springer Springer or springers may refer to: Publishers * Springer Science+Business Media, aka Springer International Publishing, a worldwide publishing group founded in 1842 in Germany formerly known as Springer-Verlag. ** Springer Nature, a multinationa ...

, Berlin, Heidelberg, 2012. * Atanassov, K., ''Index Matrices: Towards an Augmented Matrix Calculus'', Springer, Berlin, 2014. * Atanassov K. ''On Intuitionistic Fuzzy Sets Theory'', Springer, Heidelberg, 2012. * Atanassov, K., P. Vassilev, R. Tsvetkov. ''Intuitionistic Fuzzy Sets, Measures and Integrals'', "Prof. Marin Drinov" Academic Publishing House, Sofia, 2013. * Atanassov K. ''Intuitionistic Fuzzy Logics'', Springer, Cham, 2017. 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.

References

External links

Krassimir Atanassov
Website of the Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Profile of Krassimir Atanassov
in

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{{DEFAULTSORT:Atanassov, Krassimir 1954 births Living people Bulgarian mathematicians Bulgarian scientists People from Burgas Corresponding Members of the Bulgarian Academy of Sciences