Abstract : Lotfi Aliasker Zadeh propounded the annotation of fuzzy sets in 1965. Since then, it has been applied in diversified fields of knowledge. The theory of fuzzy sets furnishes a powerful and influential portrayal of the estimation of ambiguities and a fresh, realistic depiction of vague notions demonstrated in genuine accents. The mathematical encapsulation of the usual set theory into the theory of fuzzy subsets has matured into a natural phenomenon. The concept of fuzzy sets was introduced in the realm of the theory of groups by Rosenfeld, who formulated the notion of a fuzzy subgroupoid and a fuzzy subgroup of a groupoid and group, respectively, in 1979. Since then, many investigators have continued the results of abstract algebra to the complete skeleton of vague settings. R. Biswas in 1990 initiated the idea of the theory of anti-fuzzy subgroups. Following the conception of the theory of anti-fuzzy subgroup proposed by Gayen et al., we have derived the notion of anti-fuzzy subgroupoids along with some good results. Further, we have presented the multiplication of anti-fuzzy subgroupoids and some good results.
Keywords : Fuzzy Sets; Fuzzy Subgroupoids; Anti-fuzzy Subgroupoids; Product of Anti-fuzzy Subgroupoids; Anti-fuzzy Subgroups; Anti-fuzzy Subgroupoids with respect to ’+’. MSC: 03E72, 08A72, 20N25
Cite : Kumar, S., & Singh, M. K. (2024). On A New Notion Of Anti-Fuzzy Subgroupoids (1st ed., pp. 1-4). Noble Science Press. https://doi.org/10.52458/9788197112492.nsp.2024.eb.ch-01
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