Our purpose in this paper is to initiate and study the notions of fuzzy subnear-semirings and fuzzy soft subnear-semirings. We study few of their elementary properties by providing suitable examples. Moreover, we present the characterizations of zero symmetric near-semirings (seminearrings) through their fuzzy ideals and fuzzy soft ideals. Fuzzy soft anti-homomorphism of fuzzy soft near-semirings and fuzzy soft R-homomorphisms of fuzzy soft R-subsemigroups are also introduced and discussed.
Citation: Abdelghani Taouti, Waheed Ahmad Khan. Fuzzy subnear-semirings and fuzzy soft subnear-semirings[J]. AIMS Mathematics, 2021, 6(3): 2268-2286. doi: 10.3934/math.2021137
Our purpose in this paper is to initiate and study the notions of fuzzy subnear-semirings and fuzzy soft subnear-semirings. We study few of their elementary properties by providing suitable examples. Moreover, we present the characterizations of zero symmetric near-semirings (seminearrings) through their fuzzy ideals and fuzzy soft ideals. Fuzzy soft anti-homomorphism of fuzzy soft near-semirings and fuzzy soft R-homomorphisms of fuzzy soft R-subsemigroups are also introduced and discussed.
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Abdelghani Taouti, Waheed Ahmad Khan. Fuzzy subnear-semirings and fuzzy soft subnear-semirings[J]. AIMS Mathematics, 2021, 6(3): 2268-2286. doi: 10.3934/math.2021137
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