About AHA 2014

Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set.

Hypersructure Theory was born in 1934, when Marty at the 8th Congress of Scandinavian Mathematiciens, gave the definition of hypergroup and illustrated some applications and showed its utility in the study of groups, algebraic functions and rational fractions. In the following years, around the 40’s, several others worked on this subject in France (Marty, Krasner, Kuntzman, Croisot), in USA (Dresher and Ore, Prenowitz, Eaton, Griffith, Wall), in Japan (Utumi), in Spain (San Juan), in Russia (Vikhrov), in Uzbekistan (Dietzman), and in Italy (Zappa).

In the 50’s and 60’s they worked on hyperstructures, in Romania (Benado), in Czech Republic (Drbohlav), in France (Koskas, Sureau), in Greece (Mittas, Stratigopoulos), in Italy (Orsatti, Boccioni), in USA (Graetzer, Pickett, McAlister), in Japan (Nakano), and in Yugoslavia (Dacic). 

Around the 70’s and 80’s, hyperstructures where cultivated especially in Italy (Corsini, Tallini, Rota, Procesi Ciampi), in Greece (Konguetsof, Vougiouklis), in USA (Prenowitz, Jantoshak, Roth, Comer), in France (Krasner, Sureau, Koskas, Deza), and in Canada (Rosenberg).

Around the 90’s and more recently, many papers appeared, made in:
· Europe:  Italy (Udine, Messina, Rome, Teramo, L’Aquila, Brescia, Palermo, Milano), France (Clermont-Ferrand, Lyon), Spain (Malaga), Finland (Oulu), Greece (Thessaloniki, Xanthi, Alexandroupolis, Patras, Athens), Romania (Iasi, Constanta), Czech Republic (Praha, Brno, Olomouc, Vyskov), Montenegro (Podgorica), Slovakia (Bratislava, Kosice).
· Asia: Iran (Babolsar, Yazd, Kerman, Bashan, Tehran, Zahedan, Zanjan, Sari-Branch), Thailand (Bangkok, Samutprakarn, Phitsanulok, Korea (Chinju, Taejon, Chungju), India (Kolkata, Tiruchendur, Tamilnadu), China (Chongqing, Xi’an), Japon (Tokyo, Tagajo), Jordan (Karak), Israel (Ramat Gan),
· America: USA (Charleston, New York, Cleveland, Ohio), Canada (Montreal).

The International Congress on Algebraic Hyperstructures and Applications (AHA) is a meeting of mathematicians working on hyperstructures and in resent years on fuzzy/rough/soft Hyperstructures, which is held once in three years, so it has a very long and fruitful tradition. 
The event will be hosted in the beautiful town of Xanthi, the “Town of Thousand colours”…. that aims to transmit thousands of smiles. Almost two hours from the International airport of Thessaloniki (Greece), less than an hour from the International airport of Alexandroupolis (Greece), almost four hours from the International airport of Istanbul (Turkey) and 35Km from the airport of Kavalla (Greece), it has a significant position not only geographically but also at urban centres net of East Macedonia and Thrace.
Xanthi is a Thracian town, capital city of the homonymous Prefecture. Built on the foothills of Rodopi mountain range, at the beginning of a valley which expands towards south to the Thracian Sea. The extent of the Municipality of Xanthi is 153.116 acres. Its population based on the census of 2001 is the 51.3% of the total population of the Prefecture. The capital city of both the Prefecture and the Municipal, meaning the town of Xanthi, has around 62.000 citizens.
Xanthi is the commercial and spiritual centre of the region and one of its characteristics is its multicultural aspect as well as the harmonically co-existence of both the Christians and the Muslims. The contemporary town is a pole of attraction for everyday life. Shops, squares, parks, halls of entertainment such as cafes, restaurants, taverns, etc, with great aesthetic, candy shops which are known not only to all over Greece but also Europe having special tastes such as the ones that karioka and saragli have. Entertainment, another part of everyday life, is characterized as vivid. It is especially lively and multi-coloured: young hoods, cinemas, bars, etc.
The Municipality of Xanthi has a significant position not only geographically but also at urban centres net of East Macedonia and Thrace, having advantages since it is a powerful commercial, manufacturing, cultural and traditional centre, centre of development of special services, research pole and innovation, exploiting the existence of the School of Engineering of Democritus University of Thrace. Since 1975 the town of Xanthi hosts the School of Engineering, which is a part of Democritus University of Thrace, in which around 5.000 students study, which is an alive lung of the town. The scientific and cultural creation of both students and professors offer an alternative suggestion of living in this town as well as they give a different power and new inspiration.

Information
· Dr. Anni Taouktsoglou, e-mail: ataouktsoglou@gmail.com

· Ms. Kassiani Skoulariki, PhD Candidate, e-mail: kassianoula_@hotmail.com
 
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