On Direct Product of a Fuzzy Subgroup with an  Anti-fuzzy Subgroup

Gayen, Sudipta; Jha, Sudhanshu Kumar; Singh, Manoj

doi:10.35940/ijrte.b1502.078219

Cited by 4 publications

(1 citation statement)

References 17 publications

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“…In the line of progress of operational research Kumar introduce optimal path selection by fuzzy relible shortest path [58] and neutrosophic shortest path [59]. Gayen introduce anti-fuzzy subgroup [60] and plithogenic subgroup [61][62], which further promote the plithogenic algebraic structure as well as introduce notation of plithogenic subgroup. Gayen with smarandache introduce interval-valued triple T-norm [63], which have both pure and applied math applications.…”

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confidence: 99%

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

admin,

TÜRKARSLAN,

Hamza

et al. 2020

IJNS

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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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confidence: 99%

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

admin,

TÜRKARSLAN,

Hamza

et al. 2020

IJNS

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A Study of Neutrosophic Shortest Path Problem

Kumar

Dey²,

Smarandache

2020

Advances in Data Mining and Database Management

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Shortest path problem (SPP) is an important and well-known combinatorial optimization problem in graph theory. Uncertainty exists almost in every real-life application of SPP. The neutrosophic set is one of the popular tools to represent and handle uncertainty in information due to imprecise, incomplete, inconsistent, and indeterminate circumstances. This chapter introduces a mathematical model of SPP in neutrosophic environment. This problem is called as neutrosophic shortest path problem (NSPP). The utility of neutrosophic set as arc lengths and its real-life applications are described in this chapter. Further, the chapter also includes the different operators to handle multi-criteria decision-making problem. This chapter describes three different approaches for solving the neutrosophic shortest path problem. Finally, the numerical examples are illustrated to understand the above discussed algorithms.

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Introduction to Plithogenic Subgroup

Gayen

Smarandache

Jha

et al. 2020

Advances in Data Mining and Database Management

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This chapter gives some essential scopes to study some plithogenic algebraic structures. Here the notion of plithogenic subgroup has been introduced and explored. It has been shown that subgroups defined earlier in the crisp, fuzzy, intuitionistic fuzzy, as well as neutrosophic environments, can also be represented as plithogenic fuzzy subgroups. Furthermore, introducing function in plithogenic setting, some homomorphic characteristics of plithogenic fuzzy subgroup have been studied. Also, the notions of plithogenic intuitionistic fuzzy subgroup, plithogenic neutrosophic subgroup have been introduced and their homomorphic characteristics have been analyzed.

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On Direct Product of a Fuzzy Subgroup with an Anti-fuzzy Subgroup

Cited by 4 publications

References 17 publications

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

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

A Study of Neutrosophic Shortest Path Problem

Introduction to Plithogenic Subgroup

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