Rashmi Singh, Anuj Kumar Umrao, "On Finite Order Nearness in Soft Set Theory," WSEAS Transactions on Mathematics, vol. 18, pp. 118-122, 2019, DOI:
Rashmi Singh, Anuj Kumar Umrao. On Finite Order Nearness in Soft Set Theory.
WSEAS Transactions on Mathematics. 2019;18:118-122.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
On Finite Order Nearness in Soft Set Theory
Authors: ,
Abstract: Soft set theory is a useful mathematical tool to deal with uncertainty in a parametric manner. Near sets have been used as a tool to study extensions of topological spaces. The present paper introduces and studies nearness of finite order, S_n- merotopy, in soft set theory. An S_m- merotopic space (U,ζ_m,E) is introduced for a given S_n- merotopic space (U,ζ,E), where m and n are integers with the restriction that 2≤m≤n. For m≤n an S_n- merotopy ζ_* from a given S_n- merotopy ζ having the property that ζ=(ζ_*)_m is constructed and the largest S_n- merotopy having such property is derived. For an S_n- merotopic space (U,ζ), every maximal ζ- compatible family is a maximal ζ- clan.
Pages: 118-122 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #16 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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