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On Characterization of Fuzzy Soft Rough Sets Based on a Pair of Border Implicators

Gong Z., Zhang X.

Fundamenta Informaticae

2015

Vol. 137, nr 4

457--491

Fuzzy set theory, soft set theory and rough set theory are powerfulmathematical tools for dealing with various types of uncertainty. This paper is devoted to define a broad family of soft fuzzy rough sets, each one of which, called an (I, J)-soft fuzzy rough set, is determined by a pair of border implicators (I, J). Alternatively, it shows that a fuzzy soft set can induce a T -equivalence fuzzy relation which is used to granulate the universe. In particular, we prove that (I, J)-fuzzy soft rough sets in our work are equivalent to (I, J)-fuzzy rough sets of Yao et al. by using a T -equivalence fuzzy relation determined by a fuzzy soft set. Furthermore, basic properties of (I, J)-fuzzy soft rough sets are investigated. Meanwhile, an operator-oriented characterization of (I, J)-fuzzy soft rough sets is proposed. Finally, an example is given to illustrate the approach of present paper.

Characterization of InGaN structures grown by epitaxial lateral overgrowth over a-plane GaN template

Miasojedovas S., Jursenas S., Kuokstis E., Zukauskas A., Gaevski M.E., Lee J., Shatalov M., Gong Z., Adivarahan V., Sattu A., Mokina I., Yang J., Asif Khan M.

Optica Applicata

2006

Vol. 36, nr 2-3

351-358

We report on the luminescence characterization of InGaN/GaN multiple quantum well (MQW) structures with average 15% In content in the well layers, grown on polar and non-polar sapphire substrates utilizing epitaxial lateral overgrowth (ELOG) technique. Significant modification of the emission properties of MQWs grown over non-polar ELOG structure in comparison with non-polar orientation was observed. It was attributed to the formation of In-rich quantum dot like structures in the vicinity of substrate related defects along stripes formed during ELOG procedure. The absence of the stimulated emission and the significant reduction of carrier lifetime, observed under strong excitation, indicate the high density of nonradiative centers in the In-rich quantum dot regions of non-polar ELOG MQWs.