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On the new type of hybrid structures in ordered semigroups

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The hybrid structures consist of the soft sets and the fuzzy sets. In this paper, we apply a hybrid structure theory to an ordered semigroup theory. The new many types of hybrid structures are introduced and some algebraic properties of such new hybrid structures are studied.

Abstract

The hybrid structures consist of the soft sets and the fuzzy sets. In this paper, we apply a hybrid structure theory to an ordered semigroup theory. The new many types of hybrid structures are introduced and some algebraic properties of such new hybrid structures are studied.

참고문헌 (11)

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  2. Y. Xie, "Further Studies on H∞ filtering design for Takagi-Sugeno fuzzy model with immeasurable premise variables by applying a switching method", ICIC Express Letters, 14(3), pp.257~264 (2020)
  3. D. Molodtsov, "Soft set theory first results", Computers & Mathematics with Applications, 37(4-5), pp.19~31 (1999)
  4. W. A. Dudek, "Int-soft interior ideals of semigroups", Quasigroups and Related Systems, 22, pp.201~208 (2014)
  5. G. Muhiuddin, "Int-soft ideals over the soft sets in ordered semigroups", AIMS Mathematics, 5(3), pp.2412~2423 (2000)
  6. S. Z. Song, "Ideal theory in semigroups based on intersectional soft sets", Scientific World Journal, pp.1~7 (2014)
  7. Y. B. Jun, "Hybrid structures and applications", Annals of Communications in Mathematics, 1(1), pp.11~25 (2018)
  8. S. Anis, "Hybrid ideals in semigroups", Cogent Mathematics, 4(1), pp.1~12 (2017)
  9. J. Mekwian, "Hybrid ideals in ordered semigroups and some characterizations of their regularities", Journal of Mathematical and Computational Science, 11(6), pp.8075~8094 (2021)
  10. K. Porselvi, "Hybrid Interior Ideals in Ordered Semigroups", New Mathematics and Natural Computation, 18(01), pp.1~8 (2022)
  11. N. Kehayopulu, "From ordered semigroup semigroups to ordered hypersemigroups", Turkish Journal of Mathematics, 43(1-3), pp.21~35 (2019)

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