English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In the last years, the constructions of triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices are an active research area. In this paper, we propose construction methods for t-norms and t-conorms on appropriate bounded lattices by using interior and closure operators, respectively. By using these methods, we obtain some proposed methods given by Ertuğrul, Karaçal, and Mesiar [2015. “Modified Ordinal Sums of Triangular Norms and Triangular Conorms on Bounded Lattices.”  International Journal of Intelligent Systems  30: 807–817] and Çaylı [2018. “On a New Class of T-Norms and T-Conorms on Bounded Lattices.” Fuzzy Sets and Systems 332: 129–143] as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms and t-conorms on bounded lattices, in general.

Some further results about t-norms and t-conorms on some special classes of bounded lattices