Book ChapterDOI
Minimal Spanning Tree in Cylindrical Single-Valued Neutrosophic Arena
Avishek Chakraborty
- pp 260-278
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TLDR
In this chapter, the concept of cylindrical single-valued neutrosophic number whenever two of the membership functions, which serve a crucial role for uncertainty conventional problem, are dependent to each other is developed.Abstract:
In this chapter, the concept of cylindrical single-valued neutrosophic number whenever two of the membership functions, which serve a crucial role for uncertainty conventional problem, are dependent to each other is developed. It also introduces a new score and accuracy function for this special cylindrical single valued neutrosophic number, which are useful for crispification. Further, a minimal spanning tree execution technique is proposed when the numbers are in cylindrical single-valued neutrosophic nature. This noble idea will help researchers to solve daily problems in the vagueness arena.read more
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Journal ArticleDOI
A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem
TL;DR: A new score function and its estimation have been formulated in different perspectives and a time computing based networking problem is considered here in pentagonal neutrosophic arena and solved using an influx of dissimilar logical & innovative thinking.
Posted Content
Single Valued Neutrosophic Graphs: Degree, Order and Size
TL;DR: The properties of various types of degrees, order and size of single valued neutrosophic graphs are examined and a new definition for regular single valued neutral graph is given.
Journal ArticleDOI
Classification of trapezoidal bipolar neutrosophic number, de-bipolarization technique and its execution in cloud service-based MCGDM problem
TL;DR: A ranking method, i.e., De-bipolarization scheme for trapezoidal bipolar neutrosophic number (TrBNN) using removal area technique is introduced and the utility of trapezoid bipolar neutrophic number and its appliance in a multi criteria group decision making problem (MCGDM) for distinct users in trapezoids bipolar arena is described.
Posted Content
Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm
TL;DR: A modified form of a neutrosophic set is introduced, called DVNS, which has these two distinct indeterminate values, and its related properties and axioms are defined and illustrated in this paper.
Journal ArticleDOI
A new approach to evaluate linear programming problem in pentagonal neutrosophic environment
TL;DR: A new concept of pentagonal neutrosophic (PN) approach to solve linear programming (LP) problem is disclosed and some numerical tests are given to show the adequacy of the new model.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI
A new approach for ranking of trapezoidal fuzzy numbers
Saeid Abbasbandy,Tayebeh Hajjari +1 more
TL;DR: This paper introduces a new approach for ranking of trapezoidal fuzzy numbers based on the left and the right spreads at some @a-levels of Trapezoid fuzzy numbers.
Journal ArticleDOI
Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers
Shi-Jay Chen,Shyi-Ming Chen +1 more
TL;DR: A new method based on the ranking of generalized trapezoidal fuzzy numbers for fuzzy risk analysis that can overcome the drawbacks of the existing centroid-index ranking methods is presented.
Journal ArticleDOI
Fuzzy system reliability analysis using fuzzy number arithmetic operations
TL;DR: A new method to analyze fuzzy system reliability using fuzzy number arithmetic operations, where the reliability of each system component is represented by a triangular fuzzy number.