Neutrosophic Quadruple BCI-Positive Implicative Ideals
Round 1
Reviewer 1 Report
# The abstract: The abstract must shortly describe the main ideas of the research, why this research is essential and show scientific novelty or findings of the study. The authors present a short overview of the literature and what is done. I suppose that the abstract must be rewritten.
# When a reader starts to read the paper, he does not know the term neutrosophic quadruple BCK/BCI-number. Therefore at the beginning, it must be introduced.
# Introduction:
28 A BCK/BCI-algebra is a class of logical algebras introduced by K. Iséki (see [3] and [4]) and was exten-
29 sively investigated by several researchers. Neutrosophic algebraic structures in BCK/BCI-algebras are
30 discussed in the papers [1], [5], [6], [7], [8], [10], [15] and [20].
# The references must be ordered strongly according to the appearance in the text order: start from the first and end with the last one.
# Moreover, it is to many references in one sentence. Besides, the authors should present essential ideas which are discussed in these papers.
39 In this paper, we introduce the notion of a neutrosophic quadruple BCI-positive implicative ideal,
40 and investigate several properties. We consider relations between neutrosophic quadruple ideal and
41 neutrosophic quadruple BCI-positive implicative ideal. Given nonempty subsets I and J of a BCI-algebra
42 U, we provide conditions for the neutrosophic quadruple (I, J)-set to be a neutrosophic quadruple BCI43 positive implicative ideal.
# Please provide critical information about why decision-makers need such an introduction and investigation of several properties.
# Preliminaries
# I am not sure, that to denote multiplication should be used "*". In the largest part of mathematical papers, this sign is omitted, or authors use the sign "x".
The missing parts of the paper: Discussion on findings and conclusions.
In conclusions, the authors should provide recommendations to likely user, limitations of the proposed model, and what they want to do in future regarding this research.
Authors must use the Microsoft Word template (https://www.mdpi.com/files/word-templates/mathematics-template.dot) or LaTeX template to prepare their manuscript. In this template, the authors will found how to refer to the literature and how the references list must be prepared.
In the paper, the authors not hold requirements to the prepared list of references.
Moreover, the list of references could be extended (i suppose till 30-40 sources) and authors should refer to the Mathematics journal published papers. It will show to readers, how the topic of the article relates to the Mathematics journal topics.
Author Response
To the reviewer;
Thank you for your concise reading and many comments on our paper !
We revised our paper according to the comments.
In particular, we rewrote the Introduction and added the conclusion.
We also gave the required order for the list of references.
Please check the revised version of our paper.
Thank you again !
Reviewer 2 Report
Neutrosophic quadruple BCI-positive implicative ideals
The aim of this article is to introduce the notion of a neutrosophic quadruple BCI-positive implicative ideal, and to investigate several properties
BUT......
Where is the conclusions section? It seems the paper is not finished yet, please make some discussion, conclusions, etc...
LAYOUT...
Lines 30, 31... please group citations... instead of [1], [2], [3], etc... use [1, 2, 3, ...]
Line 2, Authors in capitals??? check the format.
Use impersonal form ... instead of "we introduce" ... "this paper introduces" check lines 42, 55, 58, 62, etc.. if possible.
Equations number should be 1, 2, etc... please remove section number (2.1) --> (1) (just check the journal template -- I am not sure)
Author Response
To the reviewer ;
Thank you for your comments on our paper !
We made the revised form of our paper according to the comments,
In particular, we added the conclusion.
The other comments were revised in this revised form.
Thank you again for your precise comments.
Round 2
Reviewer 1 Report
The paper could be published
Reviewer 2 Report
Neutrosophic quadruple BCI-positive implicative ideals
All previous comments has been considered.
Now the paper has been significantly improved.
Just check if the journal templates requires equation number as (2.1) or just the equation number (1). I suppose in the proof editing they will advise you.
