Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets

M.; K.; Aiyared; Said

doi:https://doi.org/10.54216/IJNS.200108

International Journal of Neutrosophic Science | 2023

Plıthogenıc Combıned Dısjoınt Block Fuzzy Cognıtıve Maps (Pcdbfcm)

This research article represents an innovative concept in Plithogenic Combined Disjoint Block Fuzzy Cognitive Maps (PCDBFCM) and its applications. PCDBFCM is a very useful tool in grouping the factors with contradiction degree of multiple attributes. A plithogenic fuzzy matrix is used to represent the connection matrix. The resultant vector is obtained while using plithogenic fuzzy operators. The produced results are very useful in making decisions since they include the degree of conceptual node contradiction with respect to the dominant node. For the plithogenic aggregation operators, the degree of dissimilarity between each attribute value and the main attribute value of the attribute leads to increased accuracy.

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S. Gomathy mail -

A. Rajkumar mail -

D.Nagarajan mail -

broumi said mail

link https://doi.org/10.54216/IJNS.200101

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

New Operators Using Neutrosophic Crisp Open Set

In this paper, we introduce new sets  in neutrosophic crisp topology called neutrosophic crisp frontier, neutrosophic crisp border and neutrosophic crisp exterior with the help of neutrosophic crisp open sets in neutrosophic crisp topological space. Also, we discuss the basic and important properties of them and the relations between them. Finally, many examples are presented. 

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Riad K. Al-Hamido mail

link https://doi.org/10.54216/IJNS.200102

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

Neutrosophic Number Sequences: An introductory Study

In this paper, Neutrosophic definitions and properties of some special number sequences which are frequently found in the science literature, called Neutrosophic Number Sequences (NNSq) via Horadam sequence are studied for the first time. Especially for Neutrosophic Fibonacci (NFNq) and Neutrosophic Lucas (NLNq) number sequences, fundamental properties and identities such as Ruggles, Honsberger, Cassini, Catalan, d’Ocagne, and Tagiuri are given. In addition, Neutrosophic definitions of the sequences of Pell (NPNq), Pell-Lucas (NPLNq), Jacobsthal (NJNq), Jacobsthal-Lucas (NJLNq), Mersenne (NMNq), Mersenne-Lucas (NMLNq), Balancing (NBNq), and Lucas-Balancing (NLBNq) numbers are introduced. Besides defining these numbers and their sequences, since fuzzy and intuitionistic fuzzy sets are restrictions of neutrosophic sets, sequences of numbers within these sets are naturally and indirectly revealed.

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Hasan Gökbas mail -

Selçuk Topal mail -

Florentin Smarandache mail

link https://doi.org/10.54216/IJNS.200103

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

New approach towards (ζ1, ζ2)-interval valued Q1 neutrosophic subbisemirings of bisemirings and its extension

We introduce the notions of (τ1, τ2)-interval valued Q1 neutrosophic subbisemirings (IVQ1NSBSs), level sets of a (τ1, τ2)-IVQ1NSBS, and (τ1, τ2)-interval valued Q1 neutrosophic normal subbisemirings ((τ1, τ2)- IVQ1NNSBS) of a bisemiring. Let cZ1 be a (τ1, τ2)-IVQ1NSBS of a bisemiring M and bV be the strongest (τ1, τ2)-interval valued Q1 neutrosophic relation of M. To illustrate cZ1 is a (τ1, τ2)-IVQ1NSBS of M if and only if bV is a (τ1, τ2)-IVQ1NSBS of M ⋇ M. We show that homomorphic image of (τ1, τ2)-IVQ1NSBS is again a (τ1, τ2)-IVQ1NSBS. To determine homomorphic pre-image of (τ1, τ2)-IVQ1NSBS is also a (τ1, τ2)- IVQ1NSBS. Examples are given to strengthen our results.

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M. Palanikumar mail -

Aiyared Iampan mail -

K. Arulmozhi mail -

D. Iranian mail -

A. Seethalakshmy mail -

R. Raghavendran mail

link https://doi.org/10.54216/IJNS.200104

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

Journal of Neutrosophic and Fuzzy Systems | 2023

Important Neutrosophic Economic Indicators of the Static Model of Inventory Management without Deficit

Inventory models are generally concerned with finding the volume of inventory to be kept to ensure the continuity of work, which achieves the facility with the lowest cost and the greatest profit, and since the ideal volume is affected by the rate of demand for inventory, in previous research [5] we studied the static model without a deficit according to the neutrosophic logic and we came to a relationship that we calculate through which the ideal size of inventory, the result was a neutrosophic value that takes into account all the fluctuations and changes that administrators may encounter during the course of work through the indeterminacy and indeterminate values of the demand rate, in this research we use the neutrosophic concepts of static model of inventory management without deficit and ideal volume which we have in last research, for most important neutrosophic economic indicators that play an important role in the administrative decision-making process about the functioning of production facilities and commercial establishments that have warehouses in which they keep their equipment, goods and manufactured and unmanufactured materials necessary for the production process and provide them with a future vision of the reality of their condition over time.

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Maissam Jdid mail

link https://doi.org/10.54216/JNFS.050101

Volume & Issue

Vol. Volume 5 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2023

Special Single Valued Decagonal Neutrosophic Number and its Applications

The Neutrosophic number is defined to solve the vagueness of the real-life problem and to analysis the indeterminacy of the problem, the paper defines a special single valued Decagonal Neutrosophic number and De-Neutrosophication formula are formulated using the removal area method and a numerical practical example is illustrated of network path edges using Neutrosophic number.

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M. U. Jayanth Sastri mail -

I. Paulraj Jayasimman mail -

A. Rajkumar mail -

D. Nagarajan mail -

broumi said mail

link https://doi.org/10.54216/IJNS.200105

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

Analyses the least cost using Travelling Salesman problem through Neutrosophic Fuzzy system

The following paper introduces a methodology to calculate the least cost for a directed network through Travelling salesman problem. Dynamic programming method is used to find the minimum Cost. The recursion formula is used. The edge weights of the networks are being taken in terms of Triangular, Trapezoidal and Pentagonal Neutrosophic set. Score function for the Triangular, Trapezoidal and Pentagonal Neutrosophic sets are being defined for deneutrosophication. The least cost is estimated using all the above said Neutrosophic sets and the result is compared

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S. Ghousia Begum mail -

N. Jose Parvin Praveena mail -

A. Rajkumar mail -

D. Nagarajan mail -

broumi said mail

link https://doi.org/10.54216/IJNS.200106

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2023

The State of Risk and Optimum Decision According to Neutrosophic Rules

In light of the current circumstances and the momentary fluctuations that we live in all domains of life, which have transformed most decision-making cases into risky cases, this study was necessary. In this research, we present a new study for decision-making in the event of risk, by formulating some rules according to the neutrosophic logic starting from the data of the problem, where we replaced the classical values in the matrix of profit and probabilities with neutrosophic values that have a margin of freedom thanks to the indeterminacy provided by the neutrosophic logic, and we got more accurate solutions than the solutions that we obtained when using the classical rules which reduces the occurrence of losses, especially if the decisions are fateful and the decision issues are huge and complex and helps us to achieve the greatest profits by adopting a rational decision based on modern quantitative ways and methods.

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Maissam Jdid mail -

Hla Hasan mail

link https://doi.org/10.54216/IJNS.200107

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new

Prospects for Applied Mathematics and Data Analysis | 2023

A Study of Neutrosophic Property Functions

This paper is dedicated to neutrosophic property functions its generalizations, especially neutrosophic Gamma function, neutrosophic Beta function, neutrosophic Zeta function. Also, this work gives the interested reader a background in the study of neutrosophic polynomial orthogonality.

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Ahmed Salamah mail -

Malath F. Alaswad mail -

Rasha Dallah mail

link https://doi.org/10.54216/PAMDA.010101

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

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International Journal of Neutrosophic Science | 2023

Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets

The theory of type-II generalized Pythagorean neutrosophic interval valued soft set (Type-II PyNSIVS) and its application to real problems are introduced in this study. Additionally, we define a few operations using the type-II PyNSIVS set. The Pythagorean neutrosophic interval valued soft (PyNSIVS) set and Pythagorean fuzzy soft set are both generalized to form the type-II PyNSIVS set. Complement, union, intersection, AND, and OR are some examples of operations that we define. In particular, we demonstrate the applicability of De Morgan’s laws, associative laws, and distributive laws in type-II PyNSIVS set. The proposed similarity measure of type-II GPyNSIVS sets serves as the foundation for a strategy we provide for a medical diagnosis challenge. This method of comparing two type-II GPyNSIVS sets can be used to determine if a sick person has a particular disease or not. We support a method using the type-II generalized soft set model to tackle the decision making (DM) problem. We describe the use of a similarity measure between two type-II GPyNSIVS sets in a medical diagnosis situation. To demonstrate how they can be utilized to successfully address issues with uncertainties, illustrative examples are given.

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M. Palanikumar mail -

K. Arulmozhi mail -

Aiyared Iampan mail -

Said Broumi mail

link https://doi.org/10.54216/IJNS.200108

Volume & Issue

Vol. Volume 20 / Iss. Issue 1

Details open_in_new