Abstract
The aim of this paper is to introduce the concept of Pentapartitioned Neutrosophic Pythagorean Set with truth membership function T, contradiction membership function C, ignorance membership function U and false membership function Fare dependent neutrosophic components and unknown membership function I as an independent neutrosophic component. Pentapartitioned neutrosophic pythagorean set is an extension of Quadripartitioned neutrosophic pythagorean set. By combining five value neutrosophic logic with neutrosophic pythagorean set, we will obtain Pentapartitioned neutrosophic pythagorean set.The complement, union and intersection of Pentapartitioned neutrosophic pythagorean sets are also discussed in this paper. We establish some of its relative properties of Pentapartitioned neutrosophic pythagorean set.
Highlights
The fuzzy set was introduced by Zadeh [19] in belongingness of the element or the nonbelongingness
The aim of this paper is to introduce the concept of Pentapartitioned Neutrosophic Pythagorean Set with truth membership function T, contradiction membership function C, ignorance membership function U
By combining five value neutrosophic logic with neutrosophic pythagorean set, we will obtain Pentapartitioned neutrosophic pythagorean set.The complement, union and intersection of Pentapartitioned neutrosophic pythagorean sets are discussed in this paper
Summary
The fuzzy set was introduced by Zadeh [19] in belongingness of the element or the nonbelongingness. The idea of QSVNS is stretched from Smarandache, s four numericalvalued neutrosophic logic and Belnap, s four function walks along independently of the truth membership or of the falsity membership. In the hesitation margin of neutrosophic theory is their study, Chatterjee [4] et al analyzed a real-life independent of the truth or falsity membership, example for a better understanding of a QSVNS looks more general than intuitionistic fuzzy sets environment and showed that such situations occur yet. The main idea of Neutrosophic sets is to characterize each value statement in a 3D – Neutrosophic space, where each dimension of the space represents respectively the truth membership, falsity membership and the indeterminacy, when two components T and F are dependent and I is independent T+I+F≤ 2. Stanis Arul Mary [10] introduced Quadripartitioned neutrosophic pythagorean sets with T, C, U, F as dependent neutrosophic components. Here,TA(x) is the truth membership, CA(x) is contradiction membership,UA(x) is ignorance membership and FA(x) is the false membership
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