
Preinvexity of ndimensional fuzzy numbervalued functions
 GONG Zengtai, GAO Han

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE). 2018, 53(10):
7281.
doi:10.6040/j.issn.16719352.0.2017.631

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By means of the partial order relation in ndimensional fuzzy number space, some preinvexity of ndimensional fuzzy numbervalued functions are defined, including preinvexity, weakly preinvexity, strictly preinvexity, weakly strictly preinvexity, prequasiinvexity, weakly prequasiinvexity, strictly prequasiinvexity, weakly strictly prequasiinvexity, and so on. In addition, their interrelation of the preinvexity of ndimensional fuzzy numbervalued functions are discussed, and some examples are given to illustrate the interrelation of the preinvexity.