N. Wattanasiripong - Division of Applied Mathematics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage, Pathumthani 13180, Khon Kaen 40000, Thailand. N. Lekkoksung - Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen 40000, Thailand. S. Lekkoksung - Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen 40000, Thailand.
A mathematical notion dealing with tripolar information is called tripolar fuzzy sets. It was first used to study the properties of \(\Gamma\)-semigroups. In 2022, ordered semigroups were the first considered by tripolar fuzzy sets. It was established that in regular and intra-regular ordered semigroups, the concepts of tripolar fuzzy interior ideals and tripolar ideals are equivalent. The primary goal of this study is to employ tripolar fuzzy left and right ideals to characterize regular and intra-regular ordered semigroups. Additionally, a connection between tripolar fuzzy left (resp., right) ideals and left (resp., right) ideals in ordered semigroups is given.
N. Wattanasiripong, N. Lekkoksung, S. Lekkoksung, Description of regular and intra-regular ordered semigroups by tripolar fuzzy ideals, Journal of Mathematics and Computer Science, 33 (2024), no. 3, 290--297
Wattanasiripong N., Lekkoksung N., Lekkoksung S., Description of regular and intra-regular ordered semigroups by tripolar fuzzy ideals. J Math Comput SCI-JM. (2024); 33(3):290--297
Wattanasiripong, N., Lekkoksung, N., Lekkoksung, S.. "Description of regular and intra-regular ordered semigroups by tripolar fuzzy ideals." Journal of Mathematics and Computer Science, 33, no. 3 (2024): 290--297
