[38] **viXra:1604.0383 [pdf]**
*submitted on 2016-04-29 23:16:21*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research investigation, the author has presented ‘Universal Forecasting Model - A Locally Parameter Element Wise Linear Transformations Based Forecasting Model For Dynamic State Systems With Large Number Of Parameters’.

**Category:** General Mathematics

[37] **viXra:1604.0380 [pdf]**
*replaced on 2016-04-29 16:50:07*

**Authors:** Elemer E Rosinger

**Comments:** 3 Pages.

It is shown that infinite series of strictly positive numbers cannot converge to a positive number, unless the series has at most a countable number of terms.

**Category:** General Mathematics

[36] **viXra:1604.0294 [pdf]**
*submitted on 2016-04-20 13:42:39*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

We show a formula for constant pi

**Category:** General Mathematics

[35] **viXra:1604.0265 [pdf]**
*submitted on 2016-04-18 08:49:40*

**Authors:** Edgar Valdebenito

**Comments:** 11 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

[34] **viXra:1604.0238 [pdf]**
*submitted on 2016-04-15 09:20:45*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

In this note we show some formulas related with: Number Pi

**Category:** General Mathematics

[33] **viXra:1604.0215 [pdf]**
*submitted on 2016-04-13 08:49:54*

**Authors:** Edgar Valdebenito

**Comments:** 11 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

[32] **viXra:1604.0195 [pdf]**
*submitted on 2016-04-12 09:10:54*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

In this note we show some formulas related with: Number Pi

**Category:** General Mathematics

[31] **viXra:1604.0194 [pdf]**
*submitted on 2016-04-12 09:13:29*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

In this note we show some formulas related with: Number Pi

**Category:** General Mathematics

[30] **viXra:1604.0152 [pdf]**
*submitted on 2016-04-09 08:09:16*

**Authors:** Edgar Valdebenito

**Comments:** 6 Pages.

In this note we show some formulas related with:Legendre Polynomials Pn(x),Chebyshev Polynomials Tn(x), Polynomials Cn(x), and Number Pi

**Category:** General Mathematics

[29] **viXra:1604.0149 [pdf]**
*submitted on 2016-04-08 23:48:30*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 7 Pages.

In this research manuscript, the author has detailed a novel Universal Forecasting Model

**Category:** General Mathematics

[28] **viXra:1604.0137 [pdf]**
*submitted on 2016-04-08 09:21:46*

**Authors:** Edgar Valdebenito

**Comments:** 14 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

[27] **viXra:1604.0136 [pdf]**
*submitted on 2016-04-08 09:25:30*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

In this note we show some formulas related with the somos constant

**Category:** General Mathematics

[26] **viXra:1604.0098 [pdf]**
*submitted on 2016-04-05 02:39:56*

**Authors:** MOGA Monika, CALEFARIU Gavrilă, SMARANDACHE Florentin, SÂRBU Flavius Aurelian, BOGDAN Laura

**Comments:** 6 Pages.

The research and development (R&D) processes influence the economic development of a company, because in an industry that is changing fast, firms must continually revise their projects
and range of products. Therefore in order to determine the specific costs of research and
development activity we have to highlight the efforts and effects of these activities and to calculate some indicators of economic efficiency.

**Category:** General Mathematics

[25] **viXra:1604.0097 [pdf]**
*submitted on 2016-04-05 02:42:01*

**Authors:** CALEFARIU Emilia, BOȘCOIANU Mircea, Smarandache Florentin, BUDA Traian Alexandru

**Comments:** 6 Pages.

Despite numerous attempts to refocus traditional bivalent logic, usually, logic is tributary by keeping fixed limits for truth or false. An alternative answer to this need is the system of Neutrosophy, and its connected logic, Neutrosophic Logic, presented in the work of the authors W.B. Vasantha Kandasamy and Florentin Smarandache. Neutrosophy is a new branch of philosophy that studies the origin, nature and scope of neutralities, as well as their interactions with different ideational spectra.

**Category:** General Mathematics

[24] **viXra:1604.0096 [pdf]**
*submitted on 2016-04-05 02:44:04*

**Authors:** Xingsen Li, Yingjie Tian, Florentin Smarandache, Rajan Alex

**Comments:** 23 Pages.

The processes of generating innovative solutions mostly rely on skilled experts who are usually unavailable and their outcomes have uncertainty. Computer science and information technology are changing the innovation environment and accumulating Big Data from which a lot of knowledge is to be discovered. However, it is a rather nebulous area and there still remain several challenging problems to integrate the multi-information and rough knowledge effectively to support the process of innovation.

**Category:** General Mathematics

[23] **viXra:1604.0094 [pdf]**
*submitted on 2016-04-05 02:47:09*

**Authors:** Jean Dezert, Florentin Smarandache

**Comments:** 17 Pages.

The management and combination of uncertain, imprecise, fuzzy and even paradoxical or highly
con°icting sources of information has always been, and still remains today, of primal importance for the development of reliable modern information systems involving arti¯cial and approximate reasoning. In this short paper, we present an introduction of our recent theory of plausible and paradoxical reasoning, known as Dezert-Smarandache Theory (DSmT), developed to deal with imprecise, uncertain and con°icting sources of information.

**Category:** General Mathematics

[22] **viXra:1604.0091 [pdf]**
*submitted on 2016-04-05 02:53:38*

**Authors:** Florentin Smarandache, Jean Dezert

**Comments:** 8 Pages.

In this paper, we propose a modification of PCR5 and PCR6 fusion rules with degrees of intersections for taking into account the cardinality of focal elements of each source
of evidence to combine. We show in very simple examples the interest of these new fusion rules w.r.t. classical Dempster-Shafer,PCR6, Zhang’s and Jaccard’s Center rules of combination.

**Category:** General Mathematics

[21] **viXra:1604.0083 [pdf]**
*submitted on 2016-04-05 03:02:47*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 10 Pages.

We introduce the mapping on intuitionistic fuzzy soft expert set and its operations are studied. The basic operations of mapping on intuitionistic fuzzy soft expert set theory are defined.

**Category:** General Mathematics

[20] **viXra:1604.0081 [pdf]**
*submitted on 2016-04-05 03:05:08*

**Authors:** Said Broumi, Ali Mumtaz, Florentin Smarandache

**Comments:** 17 Pages.

In this paper we introduced mapping on neutrosophic soft expert sets through which we can study the images and inverse images of neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of mapping on neutrosophic soft expert sets in this paper.

**Category:** General Mathematics

[19] **viXra:1604.0080 [pdf]**
*submitted on 2016-04-05 03:07:39*

**Authors:** Irfan Deli, Said Broumi, Florentin Smarandache

**Comments:** 11 Pages.

In this paper, we present some definitions of neutrosophic re¯ned sets such as; union,
intersection, convex and strongly convex in a new way to handle the indeterminate information and inconsistent information. Also we have examined some desired properties of neutrosophic refined sets based on these definitions. Then, we give distance measures of neutrosophic refined sets with properties. Finally, an application of neutrosophic re¯ned set is given in medical diagnosis problem
(heart disease diagnosis problem) to illustrate the advantage of the proposed approach.

**Category:** General Mathematics

[18] **viXra:1604.0079 [pdf]**
*submitted on 2016-04-05 03:09:07*

**Authors:** Young Bae Jun, Florentin Smarandache, Chang Su Kim

**Comments:** 15 Pages.

The aim of this paper is to extend the concept of cubic sets to the neutrosophic sets.
The notions of truth-internal (indeterminacy-internal, falsity-internal) neutrosophic cu-
bic sets and truth-external (indeterminacy-external, falsity-external) neutrosophic cubic
sets are introduced, and related properties are investigated.

**Category:** General Mathematics

[17] **viXra:1604.0070 [pdf]**
*submitted on 2016-04-05 03:22:40*

**Authors:** Irfan Deli, Mumtaz Ali, Florentin Smarandache

**Comments:** 6 Pages.

In this paper, we introduce concept of bipolar neutrosophic set and its some operations.

**Category:** General Mathematics

[16] **viXra:1604.0068 [pdf]**
*submitted on 2016-04-05 03:26:58*

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

**Comments:** 8 Pages.

In this paper, we first define the concept of bipolar single neutrosophic graphs as the
generalization of bipolar fuzzy graphs, N-graphs, intuitionistic fuzzy graph, single valued
neutrosophic graphs and bipolar intuitionistic fuzzy graphs.

**Category:** General Mathematics

[15] **viXra:1604.0067 [pdf]**
*submitted on 2016-04-05 03:31:13*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 22 Pages.

In this paper, we first introduce the concept of single valued neutrosophic soft expert sets (SVNSESs for short) which combines single valued neutrosophic sets and soft expert sets.We also defineits basic operations, namely complement, union, intersection, AND and OR, and study some related properties supporting proofs.This concept is a generalization of fuzzy soft expert sets (FSESs) and intuitionistic fuzzy soft expert sets (IFSESs). Finally, an approach for solving MCDM problems is explored by applying the single valued neutrosophic soft expert sets, and an example is provided to illustrate the application of the proposed method.

**Category:** General Mathematics

[14] **viXra:1604.0066 [pdf]**
*submitted on 2016-04-05 03:32:49*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 24 Pages.

Multi-attribute decision making (MADM) play an important role in many applications, due to the efficiency to handle indeterminate and inconsistent information, interval neutrosophic sets is widely used to model indeterminate information. In this paper, a new MADM method based on interval neutrosophic trapezoid linguistic weighted arithmetic averaging aggregation (INTrLWAA) operator and interval
neutrosophic trapezoid linguistic weighted geometric aggregation (INTrLWGA) operatoris presented. A numerical example is presented to demonstrate the application and efficiency of the proposed method.

**Category:** General Mathematics

[13] **viXra:1604.0064 [pdf]**
*submitted on 2016-04-05 03:38:44*

**Authors:** Mumtaz Ali, Irfan Deli, Florentin Smarandache

**Comments:** 7 Pages.

In this study, we presented concept of neutrosophic cubic set by extending the concept of cubic set to neutrosophic set.We also defined internal neutrosophic cubic set (INCS) and external neutrosophic cubic set (ENCS).

**Category:** General Mathematics

[12] **viXra:1604.0063 [pdf]**
*submitted on 2016-04-05 03:40:27*

**Authors:** Mumtaz Ali, Florentin Smarandache

**Comments:** 8 Pages.

Fuzzy sets are the most significant tools to handle uncertain data while neutrosophic
sets are the generalizations of fuzzy sets in the sense to handle uncertain, incomplete,
inconsistent, indeterminate, false data. In this paper, we introduced fuzzy subspaces and neutrosophic subspaces (generalization of fuzzy subspaces) by applying group actions.Further,
we define fuzzy transitivity and neutrosophic transitivty in this paper. Fuzzy orbits and
neutrosophic orbits are introduced as well. We also studied some basic properties of fuzzy
subspaces as well as neutrosophic subspaces.

**Category:** General Mathematics

[11] **viXra:1604.0062 [pdf]**
*submitted on 2016-04-05 03:42:11*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 13 Pages.

In this paper we present a new distance measure between neutrosophic refined sets on the basis of extended Hausdorff distance of neutrosophic set and we study some of their basic properties. Finally, using the extended Hausdorff distance and/or similarity measures, an application to medical diagnosis is presented.

**Category:** General Mathematics

[10] **viXra:1604.0060 [pdf]**
*submitted on 2016-04-05 03:43:27*

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

**Comments:** 16 Pages.

The notion of single valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets. We apply the concept of single valued neutrosophic sets, an instance of neutrosophic sets, to graphs. We introduce certain types of single valued neutrosophic graphs (SVNG) and investigate some of their properties with proofs and examples.

**Category:** General Mathematics

[9] **viXra:1604.0059 [pdf]**
*submitted on 2016-04-05 03:44:33*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 18 Pages.

Complex fuzzy sets and complex intuitionistic
fuzzy sets cannot handle imprecise, indeterminate, inconsistent, and incomplete information of periodic nature. To overcome this difficulty, we introduce complex neutrosophic set.

**Category:** General Mathematics

[8] **viXra:1604.0058 [pdf]**
*submitted on 2016-04-05 03:45:37*

**Authors:** Said Broumi, Florentin Smarandache

**Comments:** 24 Pages.

In this paper, we first introduced the concept of possibility single valued neutrosophic soft expert sets (PSVNSESs for short) which is a generalization of single valued neutrosophic soft expert sets (SVNSESs for short), possibility fuzzy soft expert sets ( PFSESs) and possibility intuitionistic fuzzy soft expert sets (PIFSESs).

**Category:** General Mathematics

[7] **viXra:1604.0048 [pdf]**
*submitted on 2016-04-05 03:59:19*

**Authors:** Mumtaz Ali, Muhammad Shabir, Munazza Nazz, Florentin Smarandache

**Comments:** 19 Pages.

Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly dened objects. In this paper we introduced soft neutrosophic semigroup,soft neutosophic bisemigroup, soft neutrosophic N-semigroup with the discuissionf of some of their characteristics.

**Category:** General Mathematics

[6] **viXra:1604.0046 [pdf]**
*submitted on 2016-04-05 04:03:05*

**Authors:** Florentin Smarandache, Daniela Gîfu, Mirela Teodorescu

**Comments:** 8 Pages.

Discourse analysis is a synergy of social science disciplines, including linguistics,education, sociology, anthropology, social work, cognitive psychology, social psychology,area studies, cultural studies, international relations, human geography, communication studies, and translation studies, subject to its own assumptions, dimensions of analysis,and methodologies.

**Category:** General Mathematics

[5] **viXra:1604.0043 [pdf]**
*submitted on 2016-04-05 04:09:47*

**Authors:** Florentin Smarandache, Stefan Vladutescu

**Comments:** 13 Pages.

The study starts from evidence that several communication acts fail, but nobody is called to intervene and nobody thinks of intervening. Examining different branches (specialties) of the communication discipline and focusing on four possible practices, by comparison, differentiation, collating and corroboration,
the current study brings arguments for a branch of the communication discipline that has as unique practical aim the communicational intervention, the practical, direct and strict application of communication research.

**Category:** General Mathematics

[4] **viXra:1604.0042 [pdf]**
*submitted on 2016-04-05 04:12:17*

**Authors:** Florentin Smarandache

**Comments:** 10 Pages.

Besides matter and antimatter, there must exist an intermediate form of matter, called unmatter.

**Category:** General Mathematics

[3] **viXra:1604.0040 [pdf]**
*submitted on 2016-04-04 13:45:20*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

[2] **viXra:1604.0038 [pdf]**
*submitted on 2016-04-04 14:49:25*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

[1] **viXra:1604.0037 [pdf]**
*replaced on 2016-04-05 13:32:47*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

In this note we show some formulas related with: Legendre Integral and Number Pi

**Category:** General Mathematics