Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 30, Issue 7, Pages 807-817Publisher
WILEY-BLACKWELL
DOI: 10.1002/int.21713
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Funding
- Karadeniz Technical University [12802]
- European Regional Development Fund in IT4 Innovations Centre of Excellence Project [CZ.1.05/1.1.00/02.0070]
- [APVV-0073-10]
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Having in mind that ordinal sum construction of triangular norms (triangular conorms) may not work on bounded lattices, in general, we propose a modification of ordinal sums of t-norms (t-conorms) resulting to a t-norm (t-conorm) on an arbitrary bounded lattice. In particular, our method can be applied to define connectives for fuzzy sets type 2, interval-valued fuzzy sets, intuitionistic fuzzy sets, etc. Some illustrative examples are added, considering the interval lattice L([0, 1]), the intuitionistic lattice LI, and the diamond lattice.
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