American Journal of Applied Mathematics
Volume 5, Issue 4, August 2017, Pages: 114-118
Received: May 23, 2017;
Accepted: Jun. 21, 2017;
Published: Jul. 24, 2017
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Md. Shohel Babu, Computer Science & Engineering, Southeast University, Dhaka, Bangladesh
Shifat Ahmed, Electrical & Electronic Engineering, Southeast University, Dhaka, Bangladesh
The method of constructing t-norms by generators consists in using a unary function (generator) to transform some known binary function (usually, addition or multiplication) into a T-norm. In order to allow using non-bijective generators, which do not have the inverse function, we have used the notion of pseudo-inverse function. Many families of related t-norms can be defined by an explicit formula depending on a parameter p. Firstly; some continuous and decreasing parametric functions have been selected. Then generate parametric T-norms by using those functions based on additive generator.
Md. Shohel Babu,
Function as the Generator of Parametric T-norms, American Journal of Applied Mathematics.
Vol. 5, No. 4,
2017, pp. 114-118.
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Md. Shohel Babu, Dr. Abeda Sultana, Md. Abdul Alim, Continuous Functions as the Generators of T-norms, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 11, Issue 2 Ver. I (Mar - Apr. 2015), PP 35-38.
Shohel Babu, Fatema Tuj Johora, Abdul Alim, Investigation of Order among Some Known T-norms, American Journal of Applied Mathematics 2015; 3 (5): 229-232 Published online September 25, 2015 doi: 10.11648/j.ajam.20150305.14 ISSN: 2330-0043 (Print); ISSN: 2330-006X (Online).
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