Approximations on Normal Forms in Rough-Fuzzy Predicate Calculus
Considering the importance of Pawlak’s Rough Set Model in information systems, in 2005, G. Ganesan discussed the rough approximations on fuzzy attributes of the information systems. In 2008, G. Ganesan et al., have introduced Rough-Fuzzy connectives confining to the information system as a logical system with fuzzy membership values. In this paper, a two way approach on normal forms through the Rough-Fuzzy connectives using lower and upper literals is discussed.
KeywordsRough sets Rough-fuzzy connectives Lower and upper literals Normal forms
- 1.Ganesan, G., Raghavendra Rao, C.: Rough set: analysis of fuzzy sets using thresholds. Comput. Math, pp. 81–87. Narosa Publishers, New Delhi, India (2005)Google Scholar
- 2.Ganesan, G., Rao, C.R.: Rough connectives of fuzzy predicates. Int. J. Comput. Math. Sci. Appl. 1(2), 189–196 (2008)Google Scholar
- 3.Ganesan, G., Satish, B.N.V.: Naïve properties on rough connectives under fuzziness. Int. J. Recent Innov. Trends Comput. Commun. 2(2), 216–221 (2014)Google Scholar
- 4.George, J.K., Yuan, B.: Fuzzy Sets and Fuzzy Logic Theory and Applications. Prentice-Hall of India Pvt Ltd, Upper Saddle River (1997)Google Scholar
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