This Paper combines interval- valued neutrouphic sets and rough sets. It studies roughness in interval- valued neutrosophic sets and some of its properties. Finally we propose a Hamming distance between lower and upper approximations of interval valued neutrosophic sets.

Topics: interval valued neutrosophic sets, rough sets

An interval neutrosophic set is an instance of a neutrosophic set, which can be used in real scientific and engineering applications. In this paper, three new operations based on the arithmetic mean, geometrical mean, and respectively harmonic mean are defined on interval neutrosophic sets.

Topics: Neutrosophic Sets, Interval Valued Neutrosophic Sets

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research.

Topics: Correlation Coefficient, Fuzzy Sets, Neutrosophic Sets

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xii, 613 p. : 24 cm

Topics: Soft computing, Fuzzy sets, Rough sets

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Jan 22, 2020
01/20

by
Zadeh, Lotfi A. (Lotfi Asker)

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684 pages : 24 cm

Topics: Fuzzy sets, Mathematics Fuzzy sets Applications

The neutrosophic set model is an important tool for dealing with real scientific and engineering applications because it can handle not only incomplete information but also the inconsistent information and indeterminate information which exist commonly in real situations.

Topics: Neutrosophic sets, Single valued neutrosophic sets

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Jan 15, 2022
01/22

by
Lay, Steven R., 1944-

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xvi, 244 p. : 25 cm

Topic: Convex sets

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Topic: Onion sets

In this article one builds a class of recursive sets, one establishes properties of these sets and one proposes applications. This article widens some results.

Topics: sets, elements

In this paper, we define intuitionistic neutrosophic set (INSs). In fact, all INSs are neutrosophic set but all neutrosophic sets are not INSs. We have shown by means of example that the definition for neutrosophic sets the complement and union are not true for INSs also give new definition of complement, union and intersection of INSs. We define the relation of INSs and four special type of INSs relations. Finally we have studied some properties of INSs relations.

Topics: Neutrosophic sets, intuitionistic fuzzy sets, intuitionistic neutrosophic sets, intuitionistic...

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Mar 31, 2022
03/22

by
Pedrycz, Witold, 1953-

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xxiv, 465 p. : 27 cm

Topic: Fuzzy sets

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Mar 30, 2022
03/22

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Kaufmann, A. (Arnold), 1911-

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v. : 25 cm

Topic: Fuzzy sets

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Jun 20, 2019
06/19

by
Novák, Vilém

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248 p. : 24 cm

Topic: Fuzzy sets

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Topic: Fuzzy sets

These files generate figures and metric data describing an observation-consistent solution to a stochastic inverse problem for wind drag coefficients in the Shinnecock Inlet using the Advanced Circulation (ADCIRC) model. These results appear as a numerical example in a peer-reviewed article with title, at time of submission, "Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion" by S. Mattis, K.R. Steffen, T. Butler, C.N. Dawson, and D. Estep....

Topic: Data sets

Author: Published by ISBN: DOI:

Topic: Borel sets

Rough set theory is a new method that deals with vagueness and uncertainty emphasized in decision making. The theory provides a practical approach for extraction of valid rules fromdata.This paper discusses about rough sets and fuzzy rough sets with its applications in data mining that can handle uncertain and vague data so as to reach at meaningful conclusions.

Topics: Fuzzy logic, Rough Sets, Fuzzy Rough Sets

In this paper, we study the algebraic operations of neutrosophic soft sets and their basic properties associated with these opertaions. And also define the associativity and distributivity of these operations. We discusse different algebraic structures, such as monoids, semiring and lattices, of neutrosophic soft sets.

Topics: Soft sets, Neutrosophic soft sets, monoid, semiring, lattices

A rough set is a formal approximation of a crisp set which gives lower and upper approximation of original set to deal with uncertainties. The concept of neutrosophic set is a mathematical tool for handling imprecise, indeterministic and inconsistent data. In this paper, we introduce the concepts of Rough Fuzzy Neutrosophic Sets and Fuzzy Neutrosophic Rough Sets and investigate some of their properties. Further as the characterisation of fuzzy neutrosophic rough approximation operators, we...

Topics: Fuzzy Neutrosophic Rough Sets, n eutrosophic fuzzy sets

Anjan Mukherjee ntroduced the concept of interval valued intuitionstic fuzzy soft relation. In this paper we will extend this concept to the case of interval valued neutrosophic soft relation( IVNSS relation for short) which can be discussed as a generalization of soft relations, fuzzy soft relation, intuitionstic fuzzy soft relation, interval valued intuitionstic fuzzy soft relations and neutrosphic soft relations. Basic operations are presented and the various properties like reflexivity,...

Topics: Neutrosophic soft sets, Interval valued neutrosophic soft sets

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Apr 8, 2021
04/21

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Rayne, Sarah, author

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1 volume (large print) ; 23 cm

Topics: Apparitions -- Fiction, Chess sets -- Fiction, Apparitions, Chess sets

The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.

Topics: Neutrosophic Set, Neutrosophic Crisp Sets, Neutrosophic Crisp Relations, Generalized Neutrosophic...

In this paper a new concept is called n-valued interval neutrosophic sets is given. The basic operations are introduced on n-valued interval neutrosophic sets such as; union, intersection, addition, multiplication, scalar multiplication, scalar division, truth-favorite and false-favorite.

Topics: Neutrosophic sets, n-valued neutrosophic set, interval neutrosophic sets, n-valued interval...

Includes bibliographical references

Topics: Topology, Fuzzy sets

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