Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points
Round 1
Reviewer 1 Report
1) The authors must give the numbers a reference starting with the first, and present them strictly according to the order in which they appear.
"Hoop, which is introduced by B. Bosbach in [2,3],"
2) If the hoop was introduced in 1969, then it was not introduced in 1970.
"Several properties of hoops are displayed in [4–14]."
3) There the authors cite eleven papers. The authors should extend this part of the introduction to at least eleven sentences, and these properties should be listed.
"R. A. Borzooei and M. Aaly Kologani in [6] defined the concepts of filters"
4) Must be: "Borzooei and Aaly Kologani in [6] defined the concepts of filters."
"In this paper, we defined the concepts of (2, 2)-fuzzy positive implicative filters and (2, 2 _q)-fuzzy positive implicative filters of hoops and discussed some properties of them and defined some equivalent definitions of them. Then we used the congruence relation on hoop defined in [1] by a (2, 2)-fuzzy filter of the hoop, and proved that the quotient structure of this relation is a Brouwerian semilattice."
5) The same sentences are in the abstract, introduction and conclusions. Authors do not have to repeat sentences in the article.
6) All the equations must be numbered.
7) Besides, the conclusions should emphasize the scientific novelty of the article, provide brief recommendations on when to use it, and when to avoid application.
8) Although the article is well written and could be published without significant changes, the abstract, introduction and conclusions need to be improved.
9) Every scholar wants his article to be caught by other authors as much as possible. To do this, he should provide a specific presentation (advertisement) in the abstract, introduction and conclusions: to show that problem-solving need necessarily such models as presented in the article and the results of the research proposed in the report are essential for science (or further study).
10) Moreover, I think that the WoS referred should contain more references to the WoS journals. Therefore, the authors should be able to find out more about the issue.
11) Also, I think that the papers in the journals referred in the WoS database should contain about 30 references to articles published in WoS journals. Therefore, the authors should find and mention about 12 additional documents related to the research cited in the article (some of the papers published in the Mathematics Journal may be available).
Author Response
Thank you for your careful reading and valuable comments/suggestions.
We have revised this paper in detail according to your comments/suggestions.
We have marked the changed parts in blue on the paper.
Reviewer 2 Report
This new paper has some connections with "Fuzzy Filters of Hoops Based on Fuzzy Points" (by M.Aaly Kologani, M.M. Takallo, and H.S.Kim), Mathematics (2019), 7, 430; doi: 10.3390/math7050430, which is not cited here.
Nevertheless, this new paper contains enough original material as to be published in this journal.
Author Response
Thank you for your careful reading and valuable comments/suggestions.
We have revised this paper in detail according to your comments/suggestions.
We have marked the changed parts in blue on the paper.
Reviewer 3 Report
Review for manuscript mathematics-515856
A) Positive aspects
The mathematics-515856 manuscript enters the Mathematics journal thematic area.
Generally, the theme of the manuscript-515856 manuscript is of interest.
The mathematics-515856 manuscript has a clear central idea that it develops coherently.
The calculations are verifiable and finally correct.
B) Negative aspects
b1) 8 of the 18 references are the works of the authors: 1, 6, 7, 12, 13, 14, 16, 18.
This has negative implications on the relevance of the manuscript and the interest of the scientific community in the subject.
This makes that the implicit argument regarding the attention given to the topic in the scientific environment appear illusory, deficient.
This makes the mathematics-515856 manuscript appears to a small group of researchers, possibly only to the authors.
This fact potentially makes the manuscript-515856 manuscript in its current form not having the effect that its central idea deserves.
b2) To be an article dedicated to others and not just authors,
to contribute to the scientific visibility of the journal Mathematics and to support it for publication,
the mathematics-515856 manuscript must be corrected.
C) With all our collegiality and with all our goodwill, we suggest to the authors to extend the bibliography (references) to titles from all over the world. (We do not ask removing the references mentioned above! We do not suggest titles or authors, nor do we assume that the theme has been addressed on all continents!)
Author Response
Thank you for your careful reading and valuable comments/suggestions.
We have revised this paper in detail according to your comments/suggestions.
We have marked the changed parts in blue on the paper.
Round 2
Reviewer 1 Report
The authors not properly added the following references:
#Al-Masarwah, A.; Ahmad, A. G. m-polar (α, β)-fuzzy ideals in BCK/BCI-algebras, Symmetry. 2019, 1-18.
Must be: Al-Masarwah, A., & Ahmad, A. (2019). m-Polar (α, β)-Fuzzy Ideals in BCK/BCI-Algebras. Symmetry, 11(1), 44. DOI: 10.3390/sym11010044
#Kim, H. S.; Neggers, J.; Ahn, S. S. Almost φ-fuzzy semi-ideals in groupoids. Journal of Intelligent and Fuzzy Systems. 2019, 1-8
Must be: Kim, H. S.; Neggers, J.; Ahn, S. S. Almost φ-fuzzy semi-ideals in groupoids. Journal of Intelligent & Fuzzy Systems. 2019, 36(6), 5361-5368. DOI: 10.3233/JIFS-181220
The conclusions should be more oriented to highlight a profit to decision-makers when they apply the proposed model.
Author Response
Thank you again for your careful reading.
We have corrected references according to your comments.
We have marked the changed parts in red on the paper.
