In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision maker...

The Japanese verbal suffix -aw appears in reciprocal and non-reciprocal pluraction sentences. The syntax of the former instance has been studied in the literature (Ishii, 1989; Nishigauchi, 1992; Nakao, 2003; Bruening, 2004, 2006), while the semantics, especially in the latter use has not been studied (cf. Yamada, 2009). I present numerous examples of the non-reciprocal pluraction use of -aw an...

Abstract Reciprocity guarantees that in most media, sound transmission is symmetric between two points of space when the location source and receiver are interchanged. This fundamental law can be broken non-linear often at cost detrimental input power levels, large insertion losses, ideally prepared single-frequency signals. Thus, previous observations non-reciprocal have focused on pure tones,...

We propose and demonstrate a method to realize an easily tunable non-reciprocal wave retarder whose phase retardation depends on the light propagation direction. The system is based combination of reciprocal polarization rotator, magneto-optical two quarter-wave plates. Experimental tests various functionalities in complete agreement with underlying theoretical concept.