FUZZY PERSPECTIVITY IN FUZZY LATTICES | ||
Journal of Algebraic Systems | ||
دوره 13، شماره 3، بهمن 2025، صفحه 175-184 اصل مقاله (123.75 K) | ||
نوع مقاله: Original Manuscript | ||
شناسه دیجیتال (DOI): 10.22044/jas.2024.12985.1710 | ||
نویسندگان | ||
Payal Khubchandani* ؛ Jyoti Khubchandani | ||
Department of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, P.O. Box 411037, Pune, India. | ||
چکیده | ||
In this paper, we have introduced and studied the notion of perspectivity in fuzzy lattices. The motivation is from the work done by Wasadikar and Khubchandani. We have tried to relate $\bigtriangledown_F$-relation with fuzzy perspective relation. Also, we prove that for a pair of a fuzzy atoms, the concept of fuzzy subperspective holds. Subsequently, several related properties are proven. | ||
کلیدواژهها | ||
Fuzzy lattices؛ fuzzy perspectivity؛ fuzzy subperspective؛ fuzzy del-relation؛ fuzzy atom | ||
مراجع | ||
1. N. Ajmal and K. Thomas, Fuzzy lattices, Inform. Sci., 79 (1994), 271–291.
2. I. Chon, Fuzzy partial order relations and fuzzy lattices, Korean J. Math., 17(4) (2009), 361–374.
3. G. Gratzer, Lattice Theory Foundations, Springer Verlag, Berlin, 2011.
4. M. Janowitz, Section semicomplemented lattices, Math. Zeitschr., 108 (1968), 63–76.
5. F. Maeda and S. Maeda, Theory of Symmetric Lattices, Springer-verlag, Berlin, 1970.
6. I. Mezzomo, B. Bedregal and R. Santiago, Operations on bounded fuzzy lattices, IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), (2013), 151–156.
7. M. Wasadikar and P. Khubchandani, ‘Del’ Relation and parallelism in fuzzy lattices, TWMS J. App. and Eng. Math., 12(3) (2022), 864–875.
8. M. Wasadikar and P. Khubchandani, Fuzzy modularity and complement in fuzzy lattices, TWMS J. of Apl. & Eng. Math., 12(4) (2022), 1368–1379.
9. M. Wasadikar and P. Khubchandani, Fuzzy modularity in fuzzy lattices, The Journal of Fuzzy Mathematics, 27(4) (2019), 985–998.
10. M. Wasadikar and P. Khubchandani, Fuzzy semi-orthogonality in fuzzy lattices, Journal of Hyperstructures, 12(1) (2023), 78–90.
11. L. Zadeh, Fuzzy sets, Information and control, 8 (1965), 338–353.
12. L. Zadeh, Similarity relations and fuzzy orderings, Inform. Sci., 3 (1971), 177–200 | ||
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