neutrosophics 0.0.4

Working with netrosophic sets

Neutrosophic Calculator

A Python library for performing operations on neutrosophic sets. This library supports basic arithmetic and algebraic operations, scalar multiplication, and logical operations on neutrosophic sets using NumPy for efficient computations.

Installation

pip install neutrosophics
# netrosophic

Usage Instructions

Creating Neutrosophic Sets

You can create a neutrosophic set using truth, indeterminacy, and falsity values. Internally, the values are represented as NumPy arrays for efficient operations.

from neutrosophics.types import NetrosophicSet

# Create a neutrosophic set
ns = NetrosophicSet(0.5, 0.3, 0.2)
print("Neutrosophic Set:", ns)

Arithmetic Operations on Neutrosophic Sets

You can perform basic arithmetic operations such as addition, subtraction, multiplication, and division on neutrosophic sets.

from neutrosophics.types import NetrosophicSet

ns1 = NetrosophicSet(0.5, 0.3, 0.2)
ns2 = NetrosophicSet(0.4, 0.2, 0.1)

# Addition
result_add = ns1 + ns2
print("Addition:", result_add)

# Subtraction
result_sub = ns1 - ns2
print("Subtraction:", result_sub)

# Multiplication
result_mul = ns1 * ns2
print("Multiplication:", result_mul)

# Division by a scalar
result_div = ns1 / 0.5
print("Division:", result_div)

Scalar Multiplication

You can multiply a neutrosophic set by a scalar. This operation scales each component (truth, indeterminacy, and falsity) by the scalar.

scalar = 2.0
result_scalar_mul = ns1.scalar_mul(scalar)
print("Scalar Multiplication:", result_scalar_mul)

Logical Operations

Logical operations such as conjunction, disjunction, and negation can be performed using the NetrosophicLogic class. These operations are implemented using NumPy functions for efficiency.

from neutrosophics.logic import NetrosophicLogic

logic = NetrosophicLogic()
result_conj = logic.conjunction(ns1, ns2)
print("Conjunction:", result_conj)

result_disj = logic.disjunction(ns1, ns2)
print("Disjunction:", result_disj)

result_neg = logic.negation(ns1)
print("Negation:", result_neg)

Analyzing a Neutrosophic Set

You can analyze a neutrosophic set to get a detailed breakdown of its truth, indeterminacy, falsity, and overall certainty.

from neutrosophics.analysis import NetrosophicAnalyzer

analyzer = NetrosophicAnalyzer()
analysis = analyzer.analyze(ns1)
print("Analysis:\n", analysis)

Creating Neutrosophic Sets from Tuples

You can create a neutrosophic set from a tuple and also convert a neutrosophic set back to a tuple.

# Creating from tuple
ns3 = NetrosophicSet.from_tuple((0.6, 0.5, 0.4))
print("From tuple:", ns3)

# Converting to tuple
print("To tuple:", ns1.to_tuple())

Features

• Efficient NumPy-based Computations: All operations are implemented using NumPy arrays for high performance.
• Basic Arithmetic Operations: Add, subtract, multiply, and divide neutrosophic sets.
• Scalar Multiplication: Multiply a neutrosophic set by a scalar.
• Logical Operations: Perform conjunction, disjunction, and negation on neutrosophic sets.
• Analysis: Analyze a neutrosophic set to understand its components.
• Tuple Conversion: Create neutrosophic sets from tuples and convert them back to tuples.

License

This project is licensed under the MIT License.