Let expX be the power set of a non-empty set X. A function γ: expX→expX is said to be monotonic iff A⫅B⫅X implies γA⫅γB. Császár  investigated relations between the monotonic functions. The purpose of the paper is to investigate some results concerning particular monotonic functions.
index, those by Woeginger ( 2008a , b ) and Quesada ( 2009 ) hinging on the property of monotonicity: more papers or citations do not lower the index. Marchant ( 2009 ), instead of characterizing the index itself, characterizes the ranking that the
Authors:Yu-Shan Chen, Chun-Yu Shih, and Ching-Hsun Chang
innovation performance is monotonically positive.
Hypothesis 1b (H 1b ) The relationship between RTD of a firm and its corporate growth is monotonically positive.
The influence of UTD on both of innovation performance and
Authors:Fiorenzo Franceschini and Domenico Maisano
questionable, (3) the parallel between the evolution of thermodynamic and bibliometric systems is forced, (4) X is a non-monotonic performance indicator, and (5) in bibliometrics the condition of “thermodynamic perfection” is questionable.