Interval-Valued Triangular Neutrosophic Linear Programming Problem

Bhimraj; Said

doi:https://doi.org/10.54216/IJNS.0100204

International Journal of Neutrosophic Science | 2020

Nonagonal Neutrosophic Linear Non-Linear Numbers, Alpha Cuts and Their Applications using TOPSIS

The concept of neutrosophic become really handy now a days and based on non-standard analysis to mention mathematical outcomes, uncertainty, non-completed situations, inconsistency, distinctness. The main concept of Neutrosophic set based on membership values of truth, indeterminacy and falsity, which are independent, and which play vital role in situations like uncertainty, incomplete and inconsistence. From triangular to octagonal Neutrosophic number. They play vital role in modeling problems, science, biology and many more. Hence it is clear that these are necessary and have real life applications, but some real-life problems have more edges and their triangular to octagonal fail to overcome this situation (mention in table 1). Hence, nonagonal neutrosophic numbers give a wide scope of utilizations while managing more variances in the decision-making condition with nine edges for membership values of truth, indeterminacy and falsity. In this current article we present compression between triangular to nonagonal neutrosophic number and their requirement, explore differential equations in Neutrosophic environment as Linear, symmetric and asymmetric types further, their ∂-cute and then we present a real-life problem and solved it with TOPSIS technique of MCDM.

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Muhammad Naveed Jafar mail -

Ezgi TÜRKARSLAN mail -

Ali Hamza mail -

Sara Farooq mail

link https://doi.org/10.54216/IJNS.0100104

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2020

An Expanded Model of Unmatter from Neutrosophic Logic perspective: Towards Matter-Spirit Unity View

In Neutrosophic Logic, a basic assertion is that there are variations of about everything that we can measure; the variations surround three parameters called T, I, F (truth, indeterminacy, falsehood) which can take a range of values. A previous paper in IJNS, 2020 shortly reviews the links among aether and matter creation from the perspective of Neutrosophic Logic. In any case, matter creation process in nature stays a major puzzle for physicists, scientists and other science analysts. To this issue neutrosophic logic offers an answer: "unmatter." This paper examines an extended model of unmatter, to incorporate issue soul solidarity. So, neutrosophic logic may demonstrate helpful in offering goal to long standing clashes.

groups

Victor Christianto mail -

Robert N. Boyd mail -

Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.0100105

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2020

Neutrosophic N-structure’s Characteristic Function and its Properties

The notion of neutrosophic N-structure’s characteristic function is introduced and derived from some results. The notion of neutrosophic N-subsemigroup is introduced and discusses the results on the intersection and union of neutrosophic N-subsemigroup. The notion of the eta-intersection, eta-union, and eta-composition on neutrosophic N-subsemigroup is introduced and discusses some results.

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RamyaLathaPopuri mail

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International Journal of Neutrosophic Science | 2020

A new multi-attribute decision making method with single-valued neutrosophic graphs

In most realistic situations, the theory and method of multi-attribute decision-making have been widely used in different fields, such as engineering, economy, management, military, and others. Although many studies in some extended fuzzy contexts have been explored with multi-attribute decision-making, it is widely recognized that single-valued neutrosophic sets can describe incomplete, indeterminate and inconsistent information more easier. In this paper, aiming at addressing multi-attribute decision making problems with single-valued neutrosophic information, related models and multi-attribute decision making approaches based on the fuzzy graph theory are studied. In specific, we first introduce the notion of single-valued neutrosophic sets and graphs together with several common operational laws. Then a multi-attribute decision making method based on single-valued neutrosophic graphs is established. Finally, an illustrative example and a comparative analysis are conducted to verify the feasibility and efficiency of the proposed method.

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ChaoZhang mail -

JuanjuanDing -

WenhuiBai

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Journal of Neutrosophic and Fuzzy Systems |

Generalized Neutrosophic Sampling Strategy for Elevated estimation of Population Mean

One of the disadvantages of the point estimate in survey sampling is that it fluctuates from sample to sample due to sampling error, as the estimator only provides a point value for the parameter under discussion. The neutrosophic approach, pioneered by Florentin Smarandache, is an excellent tool for estimating the parameters under consideration in sampling theory since it yields interval estimates in which the parameter lies with a very high probability. As a result, the neutrosophic technique, which is a generalization of classical approach, is used to deal with ambiguous, indeterminate, and uncertain data. In this investigation, we suggest a new general family of ratio and exponential ratio type estimators for the elevated estimation of neutrosophic population mean of the primary variable using known neutrosophic auxiliary parameters. Up to the first order of approximation, the bias and Mean Squared Error (MSE) of the suggested estimators are computed. The neutrosophic optimum values of the characterizing constants are determined, as well as the minimum value of the neutrosophic MSE of the suggested estimator is obtained for these optimum values of the characterizing scalars. Because the minimum MSE of the classical estimators of population mean lies inside the estimated interval of the neutrosophic estimators, the neutrosophic estimators are better than the equivalent classical estimators. The empirical investigation, which used both real and simulated data sets, backs up the theoretical findings. For practical utility in various areas of applications, the estimator with the lowest MSE or highest Percentage Relative Efficiency (PRE) is recommended.

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SubhashKumarYadav mail -

Florentin Smarandache mail

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International Journal of Neutrosophic Science | 2020

n-Cyclic Refined Neutrosophic Algebraic Systems of Indeterminacies, An Application to Rings and Modules

Refining the indeterminate I into many levels of indeterminacy is a way to explore many neutrosophic algebraic structures.This paper introduces the concept of n-cyclic refined algebraic system of sub-indeterminacies as a new way to refine a neutrosophic indeterminate I. This idea will be used to introduce the notion of n-cyclic refined neutrosophic ring and to study its AH-substructures. Also, this work presents the concept of n-cyclic refined neutrosophic modules with many related structures.

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mohammadabobala mail

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International Journal of Neutrosophic Science | 2020

A Note on Single Valued Neutrosophic Sets in Ordered Groupoids

  The aim of this paper is to combine the notions of ordered algebraic structures and neutrosophy. In this regard, we define for the first time single valued neutrosophic sets in ordered groupoids. More precisely, we study single valued neutrosophic subgroupoids of ordered groupoids, single valued neutrosophic ideals of ordered groupoids, and single valued neutrosophic filters of ordered groupoids. Finally, we present some remarks on single valued neutrosophic subgroups (ideals) of ordered groups.  

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M. Al-Tahan mail -

B. Davvaz mail -

M. Parimala mail

link https://doi.org/10.54216/IJNS.0100201

Volume & Issue

Vol. Volume 10 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020

On Finite NeutroGroups of Type-NG[1,2,4]

    The NeutroGroups as alternatives to the classical groups are of different types with different algebraic prop- erties. In this paper, we are going to study a class of NeutroGroups of type-NG[1,2,4]. In this class of Neu- troGroups, the closure law, the axiom of associativity and existence of inverse are taking to be either partially true or partially false for some elements; while the existence of identity element and axiom of commutativity are taking to be totally true for all the elements. Several examples of NeutroGroups of type-NG[1,2,4] are presented along with their basic properties. It is shown that Lagrange’s theorem holds for some NeutroSub- groups of a NeutroGroup and failed to hold for some NeutroSubgroups of the same NeutroGroup. It is also shown that the union of two NeutroSubgroups of a NeutroGroup can be a NeutroSubgroup even if one is not contained in the other; and that the intersection of two NeutroSubgroups may not be a NeutroSubgroup. The concepts of NeutroQuotientGroups and NeutroGroupHomomorphisms are presented and studied. It is shown that the fundamental homomorphism theorem of the classical groups is holding in the class of NeutroGroups of type-NG[1,2,4].        

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A.A.A. Agboola mail

link https://doi.org/10.54216/IJNS.0100202

Volume & Issue

Vol. Volume 10 / Iss. Issue 2

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International Journal of Neutrosophic Science | 2020

A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces

  The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, in- tuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and study on various soft set concepts. This paper shows the detailed review of soft topological spaces in various sets like fuzzy, Intuitionistic fuzzy set and neutrosophy. Eventually, we compared some of the existing tools in the literature for easy understanding and exhibited their advantages and limitations.  

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M. Parimala mail -

M.Karthika mail -

F. Smarandache mail

link https://doi.org/10.54216/IJNS.0100203

Volume & Issue

Vol. Volume 10 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020