Research Article
Year 2016,
Volume: 4 Issue: 4, 239 - 244, 31.12.2016
Abstract
References
- Birkhoff G. Lattice Theory. American Mathematical Society Colloquium Publishers, Providence, RI, 1967.
- Blyth T. S. Lattices and Ordered Algebric Structures. Berlin: Springer,2005.
- Ertugrul U., Kesicioğlu M. N., F. Karaçal, Ordering based on uninorms, Information Sciences, 330(2016) 315-327.
- Ertugrul U., Karaçal F., Mesiar R., Modified ordinal sums of triangular norms and triangular conorms on bounded lattices, International Journal of Intelligent Systems, 30 (2015) 807-817.
- Gratzer G. General Lattice Theory. Berlin: Akademie, 1978.
- Höhle U. Commutative, Residuated l- monoids, in: U. Ho ̈hle, E.P. Klement (Eds.), Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook on the Math. Foundations of Fuzzy Set Theory. Dordrecht: Kluwer, 1995.
- Karacal F., Ertugrul U., Mesiar R., Characterization of uninorms on bounded lattices, Fuzzy Sets Systems (2016), http://dx.doi.org/10.1016/j.fss.2016.05.014
- Karacal F., Khadjiev Dj. ∨_- distributive and infinitely ∨_-distributive t-norms on complete lattice. Fuzzy Sets and Systems 2005; 151: 341-352.
- Kesicioglu M. N., Karaçal F. Mesiar R. Order-equivalent triangular norms. Fuzzy Sets and Systems 2015; 268: 59-71.
- Klement E. P., Mesiar R. Pap E. Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Internat. J. Uncertain, Fuzziness Knowledge-Based Systems 2000; 8: 701-717.
- Klement E. P., Mesiar R. Pap E. Triangular Norms. Dordrecht: Kluwer Academic Publishers, 2000.
- Klement E. P., Weber S. An integral representation for decomposable measures of measurable functions. Aequationes Math. 1994; 47: 255-262.
- Kolesárová A. On the integral representation of possibility measures of fuzzy events. J. Fuzzy Math. 1997; 5: 759-766.
- Mitsch H. A natural partial order for semigroups. Proceedings of the American Mathematical Society 1986; 97: 384-388.
- Zhang D. Triangular Norms on Partially Ordered Sets. Fuzzy Sets and Systems 2005; 153: 195-209.
Year 2016,
Volume: 4 Issue: 4, 239 - 244, 31.12.2016
Abstract
References
- Birkhoff G. Lattice Theory. American Mathematical Society Colloquium Publishers, Providence, RI, 1967.
- Blyth T. S. Lattices and Ordered Algebric Structures. Berlin: Springer,2005.
- Ertugrul U., Kesicioğlu M. N., F. Karaçal, Ordering based on uninorms, Information Sciences, 330(2016) 315-327.
- Ertugrul U., Karaçal F., Mesiar R., Modified ordinal sums of triangular norms and triangular conorms on bounded lattices, International Journal of Intelligent Systems, 30 (2015) 807-817.
- Gratzer G. General Lattice Theory. Berlin: Akademie, 1978.
- Höhle U. Commutative, Residuated l- monoids, in: U. Ho ̈hle, E.P. Klement (Eds.), Non-Classical Logics and Their Applications to Fuzzy Subsets: A Handbook on the Math. Foundations of Fuzzy Set Theory. Dordrecht: Kluwer, 1995.
- Karacal F., Ertugrul U., Mesiar R., Characterization of uninorms on bounded lattices, Fuzzy Sets Systems (2016), http://dx.doi.org/10.1016/j.fss.2016.05.014
- Karacal F., Khadjiev Dj. ∨_- distributive and infinitely ∨_-distributive t-norms on complete lattice. Fuzzy Sets and Systems 2005; 151: 341-352.
- Kesicioglu M. N., Karaçal F. Mesiar R. Order-equivalent triangular norms. Fuzzy Sets and Systems 2015; 268: 59-71.
- Klement E. P., Mesiar R. Pap E. Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Internat. J. Uncertain, Fuzziness Knowledge-Based Systems 2000; 8: 701-717.
- Klement E. P., Mesiar R. Pap E. Triangular Norms. Dordrecht: Kluwer Academic Publishers, 2000.
- Klement E. P., Weber S. An integral representation for decomposable measures of measurable functions. Aequationes Math. 1994; 47: 255-262.
- Kolesárová A. On the integral representation of possibility measures of fuzzy events. J. Fuzzy Math. 1997; 5: 759-766.
- Mitsch H. A natural partial order for semigroups. Proceedings of the American Mathematical Society 1986; 97: 384-388.
- Zhang D. Triangular Norms on Partially Ordered Sets. Fuzzy Sets and Systems 2005; 153: 195-209.
There are 15 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | December 31, 2016 |
| IZ | https://izlik.org/JA59CX88WM |
| Published in Issue | Year 2016 Volume: 4 Issue: 4 |