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   FACULTY and STAFF - Professor Doktor HALİS AYGUN

           Personel Data  |   Education  |   Activities  |   Interests  |   Publications  |   Conferences  |   Thesis  |   Courses  |   Refereeing


   PERSONEL DATA
 

Name Surname

Halis Aygün

 
 

Date of Birth

15.05.1968

 
 

Place of Birth

Şebinkarahisar-Giresun

 
 

Correspondence Address

Applied Mathematical Sciences Research Center, Kocaeli University, Atatürk Bulvari, 41300, Izmit-Kocaeli, Turkey

 
 

Phone (office)

(90) 262- 324 99 10-1102, (90) 262 303 21 18

 
 

E-Mail

halis@kou.edu.tr

 
     
   EDUCATION
 

Bachelors

1989

Karadeniz Technical University

 
 

Masters

1992

Karadeniz Technical University

 
 

Ph. D.

1997

London City University

 
 

 

 

 

   PROFESSIONAL ACTIVITIES
 

2006-

Chairman of Applied Mathematical Sciences Research Center, Kocaeli University

 
 

2006-

Chairman of Department of Mathematics, Kocaeli University

 
 

2006-

Professor, Department of Mathematics, Kocaeli University, Izmit - Turkey,

 
 

2000-2005

Associate Professor, Department of Mathematics, Kocaeli University, Izmit - Turkey,

 
 

1998-2000

Assistant Professor,Department of Mathematics, Kocaeli University, Izmit - Turkey,

 
 

1993-1997

Research Specialist, Department of Mathematics, Kocaeli University, Izmit - Turkey,

 
 

1989-1993

Research Specialist, Department of Mathematics, Karadeniz Technical University

 
     
   RESEARCH INTERESTS
 

   Fuzzy sets

   Fuzzy logic

 
 

   Fuzzy topological spaces

   Several types of fuzzy compactness and related concepts in fuzzy topology

 
 

   The Theory of Finite Element Method

   Intuitionistic fuzzy topological spaces

 
     
   RESEARCH PUBLICATIONS
 

1. H.Aygün, M.W. Warner and S.R.T. Kudri, On Smooth L-fuzzy Topological Spaces, Journal of Fuzzy Mathematics, Vol:5, No:2 (1997) 321-338.

2. H.Aygün and S.R.T. Kudri, On Some Weaker Forms of L-fuzzy Compactness, The Journal of Fuzzy Mathematics, Vol.7, No.4, (1999)

3. H.Aygün, M.W. Warner and S.R.T. Kudri, Completely Induced L-fuzzy Topological Spaces, Fuzzy Sets and Systems, 103 (1999) 513-523.

4. H.Aygün, S.R.T. Kudri and M.W.Warner, Relative compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems 116 (2000) 311-316.

5.H.Aygün and S.R.T. Kudri, On characterizations of some covering properties in L-fuzzy topological spaces, Matematicki Vesnik 52(2000) 55-61.

6. H.Aygün, M.W.Warner and S.R.T. Kudri, P-Closedness in L-fuzzy Topological Spaces, Fuzzy Sets and Systems, 109 (2000) 277-283.

7. H.Aygün, a-Compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems 116 (2000) 317-324.

8. H.Aygün, S.E.Abbas, On Characterizations of some covering properties in L-fuzzy topological spaces in Sostak’s sense, Information Sciences 165 (2004) 221-233.

9. S.E.Abbas and H.Aygün, Intuitionistic fuzzy semiregularization spaces, Information Sciences, 176(2006)745-757.

 
   
   INTERNATIONAL CONGRESSES and CONFERENCES
 

1. M.W. Warner, H.Aygün and S.R.T. Kudri, Smooth Compactness in Smooth L-fuzzy Topological Spaces, Proceedings of the Seventh International Fuzzy Systems Association World Congress, June 25-29, 1997, Prague, Czech Republic.

2. H.Aygün, S.R.T. Kudri and M.W. Warner, L-Fuzzy Relative Compactness, Proceedings of the Eighth International Fuzzy Systems Association World Congress, Volume I, pp: 98-101, August 17-20, 1999, Taipei, Taiwan.

3. H.Aygün, On Unification of L-fuzzy covering axioms, Proceedings of the 10th IFSA World Congress (IFSA 2003) pp:65-68, June 29-July 2, 2003 İstanbul, Turkey

4. T.K.Breuckmann, S.R.T.Kudri and H. Aygün, About weakly locally compact spaces, Lopez-Diaz, Miguel (ed.) et al., Soft methodology and rondom information systems. Collection of papers presented at the 2nd international conference on soft methods in probability and statistics (SMPS’2004), Oviedo, Spain, September 2-4,2004. Berlin: Springer. Advances in Soft Computing, 638-644 (2004).

5. H.Aygün, Smooth Compactness in Smooth L-fuzzy Topological Spaces, Türk Matematik Derneği XI. Ulusal Matematik Sempozyumu Bülteni, sayfa 29, 7-11 Eylül 1998, Isparta.

 
   
   THESIS
 

1. H.Aygün, Fuzzy Topolojik Uzayları, Karadeniz Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Yüksek Lisans Tezi, Temmuz-1992, Trabzon.

2. H.Aygün, Study of Covering Properties in Fuzzy Topology, City University, Department of Mathematics, Doktora Tezi, Nisan-1997, Londra.

 
   
   THESIS SUPERVISION
 

1. Fuzzy Topolojik Uzaylarda Kompaktlık (Ayşe Arzu Bural), M.Sc THESIS, Kocaeli University, 2003.

2. L-Fuzzy Topolojik Uzaylarda Kompaktlık (Özlem Ergün), M.Sc THESIS, Kocaeli University, 2005.

 
   
   COURSES
 

      TAUGHT GRADUATE LEVEL

      TAUGHT UNDERGRADUATE LEVEL

 
 

   Advanced Topology I-II-III

   Topology I-II

 
 

   Introduction To Fuzzy Mathematics

   Advanced Calculus I-II

 
 

   Topological Vector Spaces

   Selected Topics in Topology

 
 

   Fuzzy Topology I-II

   Metric Spaces

 
 

   Lattice Theory I-II

   Abstract Mathematics I-II

 
 

   Mathematical Analysis I

   Technical English III-IV

 
 

   

   Calculus I-II-III-IV

 
 

   

   

   REFEREEING
 

1. Information Sciences

2. Fuzzy Sets and Systems

3. International Journal of Mathematics and Mathematical Sciences

4. Soochow Journal of Mathematics

5. Bulletin of Malaysian Mathematical Society

6. Matematicki Vesnik

7. Journal of Marmara Institute for Graduate Studies in Pure and Applied Sciences.

 
   

 

 

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