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Open Access Research Article

On picture fuzzy almost ideals of semigroups

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pp. 1817–1830Vol. 27Issue 6September 2024DOI: 10.47974/JDMSC-1820 Crossmark XML
Received:
07 Dec 2022
Published Online:
16 Sep 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1820
Pages:
1817–1830

Abstract

In this paper, we give the concept of picture fuzzy almost ideals, minimal picture fuzzy almost ideals, and prime (semiprime, strongly prime) picture fuzzy almost ideals in semigroups. We prove the basic properties of picture fuzzy almost ideals in semigroups. Moreover, we investigate the connection between almost ideals and picture fuzzy almost ideals in semigroups. 

Keywords

Subject Classifications

03E7220M12

References

[1] S. Bogdanovic, Semigroups in which some bi-ideals is a group, Review of Research Faculty of Science-University of Novi Sad, vol.11, pp. 261-266 (1981).
[2] R. Chinram and W. Nakkhasen, Almost bi-quasi-interior ideals and fuzzy almost bi-quasi-interior ideals of semigroups, Journal of Mathematics and Computer Science, vol. 26, no.2, pp. 128-136 (2022).
[3] B. C. Cuong, Pythagorean picture fuzzy sets, part 1-basic notions, Journal of Computer Science and Cybernetics, vol. 4, no. 35, pp. 293-304 (2019).
[4] T. Gaketem, On interval valued fuzzy almost (m, n)-ideals in semigroups, Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 1, pp. 171-180 (2022), DOI: 10.1080/09720529.2021.1995178.
[5] N. Kaopusek, T. Kaewnoi and R. Chinram, On almost interior ideals and weakly almost interior ideals of semigroups, Journal of Discrete Mathematical Sciences and Cryptography vol. 23, no.3, pp. 773-778 (2022), DOI: 10.1080/09720529.2019.1696917.
[6] W. Krailoet, A. Simuen, R. Chinram and P. Petchkaew, A note on fuzzy almost interior ideals in semigroups, Int. J. Math. Comput. Sci., vol. 16, pp. 80-808 (2021).
[7] N. Kuroki, On fuzzy Ids and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems, vol.5, pp. 203-215 (1981).
[8] S. Nawaz, M. Gulistan, N. Kausar, Salahuddin and M. Munir, On the left and right almost hyperideals of LAsemihypergroups, Int. J. Fuzzy Logic Intel. Syst., vol. 21 pp. 86-92 (2021).
[9] W. Nakkhasen, On Picture Fuzzy (m,n) -ideals of semigroups, IAENG International Journal of Applied Mathematics, vol. 52 no. 4 pp. 1040-1051 (2022).
[10] Y. S. Rao, S. Kosari, Z. Shao, M. Akhoundi and S. Omidi, A study on A-I-Γ-hyperideals and (m,n) -Γ-hyperfilters in ordered Γ -semihypergroups, Discrete Dyn. Nat. Soc., 2021, 10 pages (2021).
[11] S. Lajos, Notes on (m,n) -ideals I, Proc Jpn Acad, vol. 39, pp. 419-421 (1963).
[12] A. Simuen, K. Wattanatripop and R. Chinram, Characterizing almost quasi-Γ -ideals and fuzzy almost quasi-Γ -ideals of  Γ-semigroups, Commun. Math. Appl., vol. 11, pp. 233-240 (2020).
[13] A. Simuen, S. Abdullah,W. Yonthanthum and R. Chinram, Almost bi-Γ-ideal and fuzzy almost bi- Γ-idals of  Γ-semigroups, Eur. J. Pure Appl. Math., vol. 13, no.3, pp. 620-630 (2020).
[14] S. Suebsung, K. Wattanatripop and R. Chinram, A-ideals and fuzzy A-ideals of ternary semigroups, Songklanakarin J. Sci. Technol. vol.41, pp. 299-304 (2019).
[15] S. Suebsung, K. Wattanatripop and R. Chinram, On almost (m,n) - ideals and fuzzy almost (m,n) -ideals in semigroups, J. Taibah Univ. Sci, vol.13, pp. 897-902 (2019).
[16] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems, vol.20, pp. 87-96 (1986).
[17] R. R. Yager, Pythagorean fuzzy subsets, Proceedings of Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp. 57-61 (2013).
[18] R. R. Yager, Pythagorean membership grades in multicriteria decision making, IEEE Trans. Fuzzy Syst., vol. 4, no. 22, pp. 958-965 (2014).
[19] P. Yiarayong, Semigroup characterized by picture fuzzy sets, International Journal of Innovative Computing, Information and Control, vol. 16, no. 6, pp. 2121-2130 (2020).
[20] L.A. Zadeh, Fuzzy sets, Information and Control, vol. 8, pp. 338-353 (1965).

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