Neutrosophic Computability and Enumeration

Çevik, Ahmet; Topal, Selçuk; Smarandache, Florentín

doi:10.3390/sym10110643

Cited by 2 publications

(2 citation statements)

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“…Neutrosophic algebraic structures and neutrosophic cognitive maps were investigated in [14,16]. Neutrosophic measure, neutrosophic probability and statistics were studied in [13,44,45,52]. Neutrosophic systems application in decision making seem to be very successful.…”

Section: Briefly Review the Calculus Of Uncertainty Functionsmentioning

confidence: 99%

Towards granular calculus of single-valued neutrosophic functions under granular computing

Son¹,

Dong

Sơn

et al. 2019

Multimed Tools Appl

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Neutrosophic theory studies objects whose values vary in the sets of elements and are not true or false, but in between, that can be called by neutral, indeterminate, unclear, vague, ambiguous, incomplete or contradictory quantities. In this paper, we firstly introduce preliminaries on granular calculus and analysis related to single-valued neutrosophic functions. Based on horizontal membership functions approach, we establish some basic arithmetic operations of single-valued neutrosophic numbers, that red allow us to directly introduce the terms of neutrosophic function in usual mathematical formulas. Additionally, we build metrics on the space of single-valued neutrosophic numbers induced from Hamming distance. Then, we define some backgrounds on the limit, derivative and integral of single-valued neutrosophic functions. Finally, in order to demonstrate the usable of our theoretical results, we present some applications to well-known problems arising in engineering such as logistic model, the inverted pendulum system, Mass-Spring-Damper model.

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Section: Briefly Review the Calculus Of Uncertainty Functionsmentioning

confidence: 99%

Towards granular calculus of single-valued neutrosophic functions under granular computing

Son¹,

Dong

Sơn

et al. 2019

Multimed Tools Appl

View full text Add to dashboard Cite

show abstract

“…The second paper [6] introduces oracle Turing machines with neutrosophic values allowed in the oracle information and then give some results when one is permitted to use neutrosophic sets and logic in relative computation. The authors also introduce a method to enumerate the elements of a neutrosophic subset of natural numbers.…”

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confidence: 99%