An order induced by implications on bounded lattices
Is this your thesis?
This record came from a bulk archive import. If it’s yours, link it to your profile.
Abstract (EN)
In this study, a relation denoted by ≼_I has been introduced by means of an implication I and the conditions making it an order have been investigated. Also, some relationships between the order ≼_I and the natural order on L have been studied. The greatest and the least elements of the partially ordered set (L,≼_I ) have been discussed. Even if L is a lattice, by some examples, it has been shown that L need not be a lattice with respect to ≼_I. Some conditions making L being a lattice have been determined. The independece of the orders induced by a continuous t-norm T and its residual implication I_T has been presented by means of some examples. It has been shown that the order induced by the implication I(x,y)=N(x)∨y defined on a bounded lattice L coincides with the natural order on L.
Author
Berna Kara
Institution
How to Cite
Berna Kara (Master Thesis). An order induced by implications on bounded lattices, 2019, Recep Tayyip Erdoğan University.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Recep Tayyip Erdoğan University
- To evaluate the incidence of postoperative pain, swelling, and alveolar osteitis following surgical extraction of mandibular impacted third molars by comparing the incidence of postoperative pain, swelling, and alveolar osteitis encountered after standard surgical extraction using post-extraction CGF or PRP(2025)
- Evaluation of the relationship between the inflammatory potential of diet and oral and periodontal health in pediatric patients(2025)
- Distribution of Aedes aegypti and Aedes albopictus in Turkey, determination of vector status and population genetics(2023)
- Problem posing in a dynamic geometry environment: Investigation of preservice mathematics teachers' problem posing processes(2025)
- Investigation of relationship between housing prices and macroeconomic variables in Turkey(2025)
- The evaluation of Population Registers of Coastal Villages in Gonio and Batumi Number 1170(2013)