Application of a Similarity Measure Using Fuzzy Sets to Select the Optimal Plan for an Air-Assisted Rice Seeder

Round 1

Reviewer 1 Report

In the article "Apply Similarity Measure of Fuzzy Sets to Select the Optimal Plan for the Air-assisted Rice Seeder" the authors define a new similarity measure of fuzzy sets and it used in the TOPSIS method to select technical parameters for the sowing machines.

The paper is interesting, but some corrections have to be made:

• All abbreviations have to be explained at the first use.
• Also, criteria proposed in Table 1 have to be defined before the table.
• In Line 102 used nomenclature have to check.
• Lines 121 and 124 have to be checked.
• Example 2 is not clear; the authors must explain why two examples are proposed (what is proved by the first and what by the second case)
• Table 6 is not clear; the authors must explain notations in the 1^st row and in the 1^st

The authors need to make major changes to the paper to improve the consistency of wording and notations.

Author Response

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Author Response File: Author Response.docx

Reviewer 2 Report

In the present paper, the authors proposed a similarity measure on fuzzy sets, in order to produce a TOPSIS model and apply this to a MCDM problem of technical parameters for sowing machines selection. The authors compared their proposed similarity measure numerically, with other existing similarity measures. The paper provides some interesting results. I recommend it to be accepted after major revisions.

 

• I recommend the authors to contain the proof that S_H satisfies the condition (S1), in the proof of line 122. Also, I recommend the authors to be more specific in the proof of S_H satisfies the condition (S4), from line 127 to line 128. Definition 3, should be Theorem. (Proof of the Theorem)

 

• The comparison of the proposed similarity measure of equation (2) with other existing similarity measures via the two examples is conducted, but the results are not presented clearly.

 

• There exists many typos and syntactical errors that need to be corrected, such as; line 13 and line 37 “flexibly and flexibly”, line 46 “similarity” measure, line 71 the abbreviation TN is not stated, line 77 “Because… requirements” (syntactic error), line 95 “is a form” -> is denoted by, line 118 “universal” set and “it is can get” and line 120 “it is defined a real function”. Also, lines 35-36 are not necessary, since the formal Definition 1 is provided.

Author Response

Please see the attachment

Author Response File: Author Response.docx