Research Article

Soft symmetric difference complement-lambda product of groups

Authors

  • Ibrahim Durak Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, 05100 Amasya, Türkiye.
  • Aslıhan Sezgin * Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Türkiye.

https://doi.org/10.48314/caa.v2i1.55

Abstract

The present study introduces the soft symmetric difference complement–lambda product of soft sets whose parameter sets are group. The key algebraic properties are investigted, its algebraic characteristics is analyzed in relation to identity, absorbing elements, null and absolute soft sets. Its broad usefulness in abstract algebraic modeling are further demonstrated by its smooth integration into soft inclusion hierarchies with generalized soft equalities.

Keywords

Soft sets Soft subsets Soft equalities Soft symmetric difference complement-lambda
References (74)
  1. [1] Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

  2. [2] Molodtsov, D. (1999). Soft set theory—first results. Computers & mathematics with applications, 37(4–5), 19–31. https://doi.org/10.1016/S0898-1221(99)00056-5

  3. [3] Maji, P. K., Biswas, R., & Roy, A. R. (2003). Soft set theory. Computers & mathematics with applications, 45(4–5), 555–562. 10.1016/S0898-1221(03)00016-6

  4. [4] Pei, D., & Miao, D. (2005). From soft sets to information systems. 2005 Ieee international conference on granular computing (Vol. 2, pp. 617–621). IEEE. https://doi.org/10.1109/GRC.2005.1547365

  5. [5] Ali, M. I., Feng, F., Liu, X., Min, W. K., & Shabir, M. (2009). On some new operations in soft set theory. Computers & mathematics with applications, 57(9), 1547–1553. https://doi.org/10.1016/j.camwa.2008.11.009

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How to Cite

Durak, I. ., & Sezgin, A. . (2025). Soft symmetric difference complement-lambda product of groups. Complexity Analysis and Applications, 2(2), 74-88. https://doi.org/10.48314/caa.v2i1.55

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