Xingxing He - Southwest Jiaotong University
Yingfang Li - School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu ۶۱۱۱۳۰, Sichuan, China
Bin Yang - School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu ۶۱۱۱۳۰, Sichuan, China

In this work, we examine several widely-used interval-valued fuzzy logical connectives with respect to admissible orders. We are concerned with interval-valued fuzzy negations, automorphisms, fuzzy implications and aggregation functions with respect to K_{\alpha,\beta} orders and arbitrary intervals on L([۰, ۱]). We also make a discussion of width-preserving interval-valued fuzzy equivalence functions and fuzzy dissimilarity functions with respect to arbitrary admissible orders and the intervals with the same width on L([۰, ۱]). Then we bring some approaches to constructing the proposed interval-valued fuzzy logical connectives with respect to admissible orders.

Admissible order, fuzzy logical connective, interval-valued fuzzy negation, interval-valued automorphism, interval-valued fuzzy implication, interval-valued aggregation function