Krassimir Atanassov
Encyclopedia
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
.
, 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 works in the Centre of Biomedical Engineering at the Bulgarian Academy of Sciences
, being a vice director and scientific secretary.
Other research activities of Professor Atanassov are:
Editor-in-Chief of:
Managing Editor of:
Member of the Editorial Boards of:
, systems theory
, 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 Petri nets. However, the topological and logical operators he has introduced have no analogue in Petri nets theory.
, decision making
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.
Burgas
-History:During the rule of the Ancient Romans, near Burgas, Debeltum was established as a military colony for veterans by Vespasian. In the Middle Ages, a small fortress called Pyrgos was erected where Burgas is today and was most probably used as a watchtower...
, Bulgaria
Bulgaria
Bulgaria , officially the Republic of Bulgaria , is a parliamentary democracy within a unitary constitutional republic in Southeast Europe. The country borders Romania to the north, Serbia and Macedonia to the west, Greece and Turkey to the south, as well as the Black Sea to the east...
) 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
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
.
Biography
Krassimir Atanassov graduated mathematics in the Sofia UniversitySofia University
The St. Clement of Ohrid University of Sofia or Sofia University is the oldest higher education institution in Bulgaria, founded on 1 October 1888...
, Sofia
Sofia
Sofia is the capital and largest city of Bulgaria and the 12th largest city in the European Union with a population of 1.27 million people. It is located in western Bulgaria, at the foot of Mount Vitosha and approximately at the centre of the Balkan Peninsula.Prehistoric settlements were excavated...
, 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
University of Technology, Sydney
The University of Technology Sydney is a university in Sydney, New South Wales, Australia. The university was founded in its current form in 1981, although its origins trace back to the 1870s. UTS is notable for its central location as the only university with its main campuses within the Sydney CBD...
, since 1995.
Member of the Union of Bulgarian Mathematicians, since 1979, and of the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
, since 1989.
Since 1995 he works in the Centre of Biomedical Engineering at the Bulgarian Academy of Sciences
Bulgarian Academy of Sciences
The Bulgarian Academy of Sciences is the National Academy of Bulgaria, established in 1869. The Academy is autonomous and has a Society of Academicians, Correspondent Members and Foreign Members...
, being a vice director and scientific secretary.
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)
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)
Generalized nets
In 1983 Atanassov introduced the object "Generalized Net" and investigated its basic properties, as well as some of its applications in artificial intelligenceArtificial intelligence
Artificial intelligence is the intelligence of machines and the branch of computer science that aims to create it. AI textbooks define the field as "the study and design of intelligent agents" where an intelligent agent is a system that perceives its environment and takes actions that maximize its...
, systems theory
Systems theory
Systems theory is the transdisciplinary study of systems in general, with the goal of elucidating principles that can be applied to all types of systems at all nesting levels in all fields of research...
, 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 Petri nets. 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 Fuzzy sets, defined by Lotfi Zadeh, 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, systems theorySystems theory
Systems theory is the transdisciplinary study of systems in general, with the goal of elucidating principles that can be applied to all types of systems at all nesting levels in all fields of research...
, decision making
Decision making
Decision making can be regarded as the mental processes resulting in the selection of a course of action among several alternative scenarios. Every decision making process produces a final choice. The output can be an action or an opinion of choice.- Overview :Human performance in decision terms...
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.