Semi-t-operators and idempotent semi-t-operators on bounded lattices

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-18-2_009

تاریخ نمایه سازی: 30 خرداد 1400

Abstract:

Recently, Fang and Hu introduced the definition of semi-t-operators on bounded lattices. In this study, we propose several construction methods to obtain such a semi-t-operator from a given semi-t-conorm and semi-t-norm on bounded lattices. Furthermore, we discuss the presence of idempotent semi-t-operators on bounded lattices, and show several different methods for construction of idempotent semi-t-operators on bounded lattices with additional constraints.

Authors

Y. M. Wang

School of Mathematics, Shandong University, ۲۵۰۱۰۰ Jinan, PR China

Z. B. Li

School of Statistics, Shandong University of Finance and Economics, ۲۵۰۰۱۴ Jinan, PR China

H. W. Liu

School of Mathematics, Shandong University, ۲۵۰۱۰۰ Jinan, PR China