An addition-invariant partial order of ordered addition monoids of intuitionistic fuzzy values

3CA 2010 - 2010 International Symposium on Computer, Communication, Control and Automation

Volumn 1, Issue , 2010, Pages 291-294

  Liu, Hsiang Chuan ^a  

^a ASIA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

INTUITIONISTIC FUZZY; LEXICOGRAPHIC ORDER; MONOIDS; MULTI-CRITERIA FUZZY DECISION MAKING; PARTIAL ORDER;

DECISION MAKING;

FUZZY SETS;

EID: 77956120158     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/3CA.2010.5533828     Document Type: Conference Paper

References (10)

1. K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems 20, 1986, pp. 87-96.
2. K. Atanassov, Intuitionistic fuzzy sets: Theory and application, Heidelberg, Germany, Physica-Verlag, 1999.
3. L. A. Zadeh, "Fuzzy sets", Information Control 8, 1965, pp.338-356.
4. S. K. De, R. Biswas, A. R. Ray, "Some operation on intuitionisric fuzzy sets", Fuzzy Sets and Systems 114, 2000, pp. 477-484.
5. Z. S. Xu, "Intuitionistic fuzzy aggregation operators", IEEE Transaction on Fuzzy Systems 15, 2007, pp. 1179-1187.
6. C. Tan, X. Chen, "Intuitionistic fuzzy Choquet integral operator for multi-creteria decision making", Expert Systems with Applications 37, 2010, pp. 149-157.
7. S. Skiena, "Lexicographically ordered permutations", Implementing Discrete Mathematics, Combinatorics and Graph Theory with Mathematica, Reading, MA: Addison-Wesley, 1990, pp. 3-5.
8. J. M. Howie, An Introduction to Semigroup Theory, Academic Press, 1976.
9. X. Y. Xie, F. Yan, "Fuzzy ideal extension of ordered semigroups". Lobach. J. Math. 19, 2005, pp. 29-40.
10. B. L. Dietrich and A. J. Hoffman, "On greedy algorithms, partially order sets, and submodular functions". IBM J. res & Dev. 47, 2003, pp. 25-30.