The monoid structure of e-implications and pseudo-e-implications

Information Sciences

Volumn 174, Issue 1-2, 2005, Pages 103-122

  Khaledi, Gh ^a   Mashinchi, Mashalah ^a   Ziaie, S A ^a  

^a SHAHID BAHONAR UNIVERSITY OF KERMAN   (Iran)

Author keywords

Complete lattice; De Morgan algebra; e implication; Monoid; Pseudo e implication; Uninorm

Indexed keywords

ALGORITHMS; FUZZY CONTROL; MAPPING; SET THEORY; THEOREM PROVING;

COMPLETE LATTICE; DE MORGAN ALGEBRA; E-IMPLICATION; MONOID; PSEUDO-E-IMPLICATION; UNINORM;

INFORMATION SCIENCE;

EID: 20544463604     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2004.08.007     Document Type: Article

References (11)

1. B. De Baets Idempotent uninorms European Journal of Operational Research 118 1999 631 642
2. B. De Baets, and J. Fodor Residual operators of uninorms Soft Computing 3 1999 89 100
3. M. Baczynski, J. Drewniak, J. Sobera, Semigroups of fuzzy implications, Department of Mathematics, Silesian University, Poland, Preprint.
4. J. Fodor, R.R. Yager, and A. Rybalov Structure of uninorms International Journal of Uncertainity of Fuzziness Knowledge-Based Systems 5 1997 411 427
5. J. Golan, The theory of semirings with applications in mathematics and theoretical computer science, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 54, Longman Scientific and Technical, 1992.
6. Yong-Ming Li, and Zhong-Ke Shi Weak uninorm aggregation operators Information Sciences 124 2000 317 323
7. M. Mas, G. Mayor, and J. Torrens The modularity condition for uninorms and t-operators Fuzzy Sets and Systems 126 2002 207 218
8. M. Mas, G. Mayor, and J. Torrens The distributivity condition for uninorms and t-operators Fuzzy Sets and Systems 128 2002 209 225
9. H.T. Nguyen, and E.A. Walker A First Course in Fuzzy Logic second ed. 2000 Chapman and Hall London
10. R.R. Yager, and A. Rybalov Uninorm aggregation operators Fuzzy Sets and Systems 80 1996 111 120
11. S.A. Ziaie, S. Ray, M. Mashinchi, and R. Kamran Boolean structure of triangular norms Mathware and Soft Computing 6 1999 63 78