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Gu, S., Su, Y.. (1402). (2303-7961) The g-sum of two posets and its application to construct idempotent uninorms. نشریه علمی دانشگاه سیستان و بلوچستان, 20(5), 165-169. doi: 10.22111/ijfs.2023.7833
S. Gu; Y. Su. "(2303-7961) The g-sum of two posets and its application to construct idempotent uninorms". نشریه علمی دانشگاه سیستان و بلوچستان, 20, 5, 1402, 165-169. doi: 10.22111/ijfs.2023.7833
Gu, S., Su, Y.. (1402). '(2303-7961) The g-sum of two posets and its application to construct idempotent uninorms', نشریه علمی دانشگاه سیستان و بلوچستان, 20(5), pp. 165-169. doi: 10.22111/ijfs.2023.7833
Gu, S., Su, Y.. (2303-7961) The g-sum of two posets and its application to construct idempotent uninorms. نشریه علمی دانشگاه سیستان و بلوچستان, 1402; 20(5): 165-169. doi: 10.22111/ijfs.2023.7833

(2303-7961) The g-sum of two posets and its application to construct idempotent uninorms

Iranian Journal of Fuzzy Systems
مقاله 11، دوره 20، شماره 5، آذر و دی 2023، صفحه 165-169    اصل مقاله (136.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7833
نویسندگان
S. Gu؛ Y. Su*
School of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
چکیده
In this study, a new method, called g-sum, is presented to join two posets together that generalizes the linear sum of
two posets. Idempotent uninorms on a bounded chain are in one-to-one correspondence with special linear orders on it
and g-sum can be used to construct such special linear orders. 
کلیدواژه‌ها
Aggregation function؛ uninorm؛ poset؛ meet operation؛ linear sum
مراجع
[1] G. Birkho , Lattice theory, American Mathematical Society Colloquium Publications, Rhode Island, 1973.

[2] A. H. Cli ord, Naturally totally ordered commutative semigroups, American Journal of Mathematics, 76 (1954), 631-646.

[3] G. D. Cayli, F. Karacal, R. Mesiar, On a new class of uninorms on bounded lattices, Information Sciences, 367-368 (2016), 221-231.

[4] G. D. Cayli, F. Karacal, R. Mesiar, On internal and locally internal uninorms on bounded lattices, International Journal of General Systems, 48(3) (2019), 235-259.

[5] B. A. Davey, H. A. Priestley, Introduction to lattices and order, Second Edition, Cambridge University Press, Cambridge, 2002.

[6] B. De Baets, Idempotent uninorms, European Journal of Operational Research, 118 (1999), 631-642.

[7] F. Karacal, R. Mesiar, Uninorms on bounded lattices, Fuzzy Sets and Systems, 261 (2015), 33-43.

[8] J. Martin, G. Mayor, J. Torrens, On locally internal monotonic operations, Fuzzy Sets and Systems, 137(1) (2003), 27-42.

[9] R. Mesiar, A. Kolesarova, A. Stupnanova, Quo vadis aggregation, International Journal of General Systems, 47(2) (2018), 97-117.

[10] A. Mesiarova-Zemankova, A note on decomposition of idempotent uninorms into an ordinal sum of singleton semigroups, Fuzzy Sets and Systems, 299 (2016), 140-145.

[11] Y. Ouyang, H. Zhang, Z. Wang, B. De Baets, Idempotent uninorms on a complete chain, Fuzzy Sets and Systems, 448 (2022), 107-126.

[12] S. Saminger-Platz, On ordinal sums of triangular norms on bounded lattices, Fuzzy Sets and Systems, 157 (2006), 1403-1416.

[13] Y. Su, Z. Wang, A. Mesiarova-Zemankova, R. Mesiar, Characterizing three classes of idempotent uninorms on a bounded lattice, Iranian Journal of Fuzzy Systems, DOI: 10.22111/IJFS.2023.7685.

[14] R. R. Yager, A. Rybalov, Uninorm aggregation operators, Fuzzy Sets and Systems, 80(1) (1996), 111-120.

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