[23] **viXra:1709.0289 [pdf]**
*submitted on 2017-09-19 04:47:04*

**Authors:** Abdelmajid Ben Hadj Salem

**Comments:** 94 Pages. In French.

This book concerns the tome III of the selected papers of the Senior Engineer Abdelmajid Ben Hadj Salem that contains papers about:
- the robust estimators,
- the coordinates Fuseaux in Tunisia,
- the problem of the movement of n body.

**Category:** General Mathematics

[22] **viXra:1709.0205 [pdf]**
*submitted on 2017-09-14 02:17:17*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Yongquan Zhou, Florentin Smarandache

**Comments:** 5 Pages.

The Critical Path Method (CPM) is one of several related techniques for planning and managing of complicated projects in real world applications. In many situations, the data obtained for decision makers are only approximate, which gives rise of neutrosophic critical path problem. In this paper, the proposed method has been made to find the critical path in network diagram, whose activity time uncertain. The vague parameters in the network are represented by triangular neutrosophic numbers, instead of crisp numbers. At the end of paper, two illustrative examples are provided to validate the proposed approach.

**Category:** General Mathematics

[21] **viXra:1709.0203 [pdf]**
*submitted on 2017-09-14 02:20:17*

**Authors:** Selcuk Topal, Florentin Smarandache

**Comments:** 5 Pages.

The aim of this paper is to provide a contribution to Natural Logic and Neutrosophic Theory. This paper considers lattice structures built on noun phrases. Firstly, we present some
new negations of intersective adjectival phrases and their settheoretic semantics such as non-red non-cars and red non-cars. Secondly, a lattice structure is built on positive and negative nouns and their positive and negative intersective adjectival phrases. Thirdly, a richer lattice is obtained from previous one
by adding neutrosophic prefixes neut and anti to intersective adjectival phrases. Finally, the richest lattice is constructed via extending the previous lattice structures by private adjectives (fake, counterfeit). We call these lattice classes Neutrosophic Linguistic Lattices (NLL).

**Category:** General Mathematics

[20] **viXra:1709.0202 [pdf]**
*submitted on 2017-09-14 02:22:15*

**Authors:** Yanhui Guo, Yaman Akbulut, Abdulkadir Sengür, Rong Xia, Florentin Smarandache

**Comments:** 25 Pages.

Segmentation is considered as an important step in image processing and computer vision applications, which divides an input image into various non-overlapping homogenous regions and helps to interpret the image more conveniently. This paper presents an efficient image segmentation algorithm using neutrosophic graph cut (NGC).

**Category:** General Mathematics

[19] **viXra:1709.0201 [pdf]**
*submitted on 2017-09-14 02:23:40*

**Authors:** Yaman Akbulut, Abdulkadir Sengür, Yanhui Guo, Florentin Smarandache

**Comments:** 14 Pages.

Extreme learning machine (ELM) is known as a kind of single-hidden layer feedforward network (SLFN), and has obtained considerable attention within the machine learning community and achieved various real-world applications.

**Category:** General Mathematics

[18] **viXra:1709.0199 [pdf]**
*submitted on 2017-09-14 02:26:24*

**Authors:** R. Dhavaseelan, S. Jafari, F. Smarandache

**Comments:** 4 Pages.

The concept of neutrosophic locally compact and neutrosophic compact open topology are introduced and some interesting propositions are discussed.

**Category:** General Mathematics

[17] **viXra:1709.0197 [pdf]**
*submitted on 2017-09-14 02:29:13*

**Authors:** Said Broumi, Assia Bakali, Florentin Smarandache, Mohamed Talea, Mumtaz Ali, Ganeshsree Selvachandran

**Comments:** 6 Pages.

In this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets. The basic set theoretic operations and some concepts related to the structure of this model are introduced, and illustrated. An example related to a decision making problem involving uncertain and subjective information is presented, to demonstrate the utility of this model.

**Category:** General Mathematics

[16] **viXra:1709.0194 [pdf]**
*submitted on 2017-09-14 02:33:10*

**Authors:** Luige Vladareanu, Mihaiela Iliescu, Hongbo Wang, Feng Yongfei, Victor Vladareanu, Hongnian Yu, Florentin Smarandache

**Comments:** 6 Pages.

This paper presents relevant aspects of the idea ofusing the digital medicine in cancer, so that to shape a viable strategy for creating and implementing an interactive digital platform, NEO-VIP, that should be the basic support to design
the strategy for integration of basic, clinical and environmental research on neoplasia progression to cancer.

**Category:** General Mathematics

[15] **viXra:1709.0193 [pdf]**
*submitted on 2017-09-14 02:34:45*

**Authors:** Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache

**Comments:** 7 Pages.

In this research paper, based on the notion of
generalized single valued neutrosophic graphs of type 1, we presented a new type of neutrosophic graphs called generalized bipolar neutrosophic graphs of type 1 (GBNG1) and presented a matrix representation for it and studied some properties of this new concept. The concept of GBNG1 is an extension of
generalized fuzzy graphs of type 1 (GFG1) and generalized single valued neutrosophic of type 1 (GSVNG1).

**Category:** General Mathematics

[14] **viXra:1709.0191 [pdf]**
*submitted on 2017-09-14 02:37:44*

**Authors:** Victor Vlădăreanu, Florentin Smarandache, Luige Vlădăreanu

**Comments:** 6 Pages.

The paper presents the research undertaken for extending the functionality of a regular fuzzy multi-input decision support system through the application of basic neutrosophy principles. The application is designed and simulated using tools already available for the fuzzy implementation, adapted to the requirements of the neutrosophic extension. The results show an increase in the decision classification index, while improving the environmental accuracy of the considered model.

**Category:** General Mathematics

[13] **viXra:1709.0187 [pdf]**
*submitted on 2017-09-14 02:43:58*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy, Florentin Smarandache

**Comments:** 13 Pages.

The notion of neutrosophic cubic set is originated from the hybridization of the concept of neutrosophic set and intervalvalued neutrosophic set. We define similarity measure for neutrosophic cubic sets and prove some of its basic properties.

**Category:** General Mathematics

[12] **viXra:1709.0186 [pdf]**
*submitted on 2017-09-14 02:47:36*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Abdel-Nasser, Florentin Smarandache

**Comments:** 19 Pages.

In this paper a solution procedure is proposed to solve neutrosophic linear fractional programming problem where the cost of objective function, the resources and the technologal coefficients are triangular neutrosophic numbers.

**Category:** General Mathematics

[11] **viXra:1709.0185 [pdf]**
*submitted on 2017-09-14 02:49:07*

**Authors:** A. A. A. Agboola, B. Davvaz, F. Smarandache

**Comments:** 29 Pages.

The objective of this paper is to develop neutro-
sophic quadruple algebraic hyperstructures. Specically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical
hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.

**Category:** General Mathematics

[10] **viXra:1709.0184 [pdf]**
*submitted on 2017-09-14 02:50:24*

**Authors:** Yaman Akbulut, Abdulkadir Sengur, Yanhui Guo, Florentin Smarandache

**Comments:** 10 Pages.

k-nearest neighbors (k-NN), which is known to be a simple and efficient approach,is a non-parametric supervised classifier. It aims to determine the class label of an unknown sample by its k-nearest neighbors that are stored in a training set.

**Category:** General Mathematics

[9] **viXra:1709.0183 [pdf]**
*submitted on 2017-09-14 02:51:42*

**Authors:** R. Dhavaseelan, M. Parimala, S. Jafari, F. Smarandache

**Comments:** 5 Pages.

In this paper, we introduce and investigate a new class of sets and functions between topological space called neutrosophic semi-supra open set and neutrosophic semi-supra open continuous functions respectively.

**Category:** General Mathematics

[8] **viXra:1709.0181 [pdf]**
*submitted on 2017-09-14 02:57:32*

**Authors:** Florentin Smarandache, Nassim Abbas, Youcef Chibani, Bilal Hadjadji, Zayen Azzouz Omar

**Comments:** 4 Pages.

In this paper, we use PCR5 in order to fusion the
information of two sources providing subjective probabilities of an event A to occur in the following form: chance that A occurs, indeterminate chance of occurrence of A, chance that A does not occur.

**Category:** General Mathematics

[7] **viXra:1709.0173 [pdf]**
*submitted on 2017-09-14 03:10:32*

**Authors:** Ali Hassan, Muhammad Aslam Malik, Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache

**Comments:** 55 Pages.

Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs. In this paper we introduce some types of BSVNGs, such as subdivision BSVNGs, middle BSVNGs, total BSVNGs and bipolar single valued neutrosophic line graphs (BSVNLGs), also investigate the isomorphism, co weak isomorphism and weak isomorphism properties of subdivision BSVNGs, middle BSVNGs,total BSVNGs and BSVNLGs.

**Category:** General Mathematics

[6] **viXra:1709.0172 [pdf]**
*submitted on 2017-09-14 03:11:54*

**Authors:** Nguyen Xuan Thao, Florentin Smarandache, Nguyen Van Dinh

**Comments:** 6 Pages.

Today, soft computing is a field that is used
a lot in solving real-world problems, such as problems in economics, finance, banking... With the aim to serve for solving the real problem, many new theories and/or tools which were proposed, improved to help soft computing
used more efficiently.

**Category:** General Mathematics

[5] **viXra:1709.0170 [pdf]**
*submitted on 2017-09-14 03:12:55*

**Authors:** Florentin SMARANDACHE

**Comments:** 3 Pages.

În decembrie 2016 - ianuarie 2017, am întreprins o croazieră culturală și științifică în Arhipelagul Galápagos, Ecuador, în Oceanul Pacific,unde am vizitat șapte insule și insulițe: Mosquera,
Isabela, Fernandina, Santiago, Sombrero Chino,
Santa Cruz și Rabida, într-o croazieră cu vaporul
Golondrina.

**Category:** General Mathematics

[4] **viXra:1709.0169 [pdf]**
*submitted on 2017-09-14 03:15:30*

**Authors:** W.B. Wasantha Kandasamy, Illanteral Kandasamy, Florentin Smrandache

**Comments:** 8 Pages.

The Collatz conjecture is an open conjecture in mathematics named so after Collatz who proposed it in 1937.

**Category:** General Mathematics

[3] **viXra:1709.0168 [pdf]**
*submitted on 2017-09-14 03:20:18*

**Authors:** Mai Mohamed, Mohamed Abdel-Baset, Abdel-Nasser H. Zaied, Florentin Smarandache

**Comments:** 5 Pages.

Neutrosophic sets have been introduced as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets to represent uncertain, inconsistent and incomplete information about real world problems. Elements of neutrosophic set are characterized by a truth-membership, falsity-membership and indeterminacy membership functions. For the first time, this paper attempts to introduce the mathematical representation of Program Evaluation and Review Technique (PERT) in neutrosophic environment. Here the elements of three-times estimates of PERT are considered as neutrosophic elements.

**Category:** General Mathematics

[2] **viXra:1709.0163 [pdf]**
*submitted on 2017-09-13 13:20:05*

**Authors:** Surapati Pramanik, Shyamal Dalapati, Shariful Alam, Tapan Kumar Roy

**Comments:** 17 Pages. The article is accepted for publicatgioin in New Trends in Neutrosophic Theory and Applications-Volume II, 2017

Classical TODIM (an acronym in Portuguese for Interactive Multi criteria Decision Making) method works on crisp numbers to solve multi-attribute group decision making problems. In this paper, we define TODIM method in bipolar neutrosophic set environment to handle multi-attribute group decision making problems, which means we combine the TODIM with bipolar neutrosophic number to deal with multi-attribute group decision making problems. We have proposed a new method for solving multi-attribute group decision making problems. Finally, we solve multi-attribute group decision making problem using our newly proposed TODIM method to show the applicability and effectiveness of the proposed method.

**Category:** General Mathematics

[1] **viXra:1709.0031 [pdf]**
*submitted on 2017-09-04 06:23:26*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 4 Pages.

In this research investigation, the author has detailed about One Step Evolution Of Any Real Positive Number.

**Category:** General Mathematics