23 June 2022 0 2K Report

Dear all,

I see many published papers on soft set. These papers have the concept of soft subset introduced by Maji et al.. Now, Prof. Molodtsov in his paper of soft set ( 1999), showed that fuzzy set is a special kind of soft set. Thus, obviously, fuzzy subset of a fuzzy set must be a generalized subset of a soft set. Now, do you agree that the available definition of soft subset doesn't follow this minor conceptual perturbation?

According to available definition of soft subset, the set of attributes of the soft subset must be a subset of the set of attributes of the soft set and so on for approximations with attributes. Interestingly, the definition of soft subset is a violation of the concept of Prof. Molodtsov. Can anyone justify me in this point? I must ensure you all that Prof. Molodtsov did not introduce soft subset in any of his published papers. Don't you think that soft set researchers must ask these minor questions which are to be answered with existing incorrect notions of soft set theory ? Moreover, soft empty set, soft absolute set have different meanings and notions according to Prof. Molodtsov.

Looking for a healthy discussion

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