Bipolar pythagorean fuzzy sets examples
WebFeb 6, 2024 · AbstractThis study proposes a new perspective of the TOPSIS and VIKOR methods using the recently introduced spherical fuzzy sets ... The first example handles a warehouse location selection problem. The second example evaluates hydrogen storage systems for automobiles with different types of data (crisp, linguistic variables, type 1 … WebFeb 16, 2024 · The risk is associated with the loss function of DTRSs, which is evaluated by the decision makers. As a new extension of fuzzy sets, Pythagorean fuzzy sets can handle uncertain information more flexibly than intuitionistic fuzzy sets in the process of decision making and it gives a new measure for the determination of loss functions of …
Bipolar pythagorean fuzzy sets examples
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WebAn Introduction to Fuzzy Sets - Witold Pedrycz 1998 The concept of fuzzy sets is one of the most fundamental and influential tools in computational intelligence. Fuzzy sets can provide solutions to a broad range of problems of control, pattern classification, reasoning, planning, and computer vision. This book bridges the gap that has developed WebPythagorean fuzzy sets were a react... Abstract Many scholars have been challenged by multi-attribute group decision-making problems that have stimulated the appearance of increasingly general models.
Let p_{j} = \left( {\mu_{j}^{ + } ,v_{j}^{ + } ,\mu_{j}^{ - } ,v_{j}^{ - } } \right) \;\left( {j = 1,2, \ldots ,n} \right)be a collection of BPFNs, then we define the bipolar Pythagorean fuzzy weighted average (BPFWA) operator as below: where w = \left( {w_{1} ,w_{2} , \ldots ,w_{n} } \right)^{T} be the weight vector of … See more Let p_{j} = \left( {\mu_{j}^{ + } ,v_{j}^{ + } ,\mu_{j}^{ - } ,v_{j}^{ - } } \right) \;\left( {j = 1,2, \ldots ,n} \right) be a collection of BPFNs, then their aggregated value by using the BPFWA operator is also a BPFNs, and where w … See more We can prove the theorem by utilizing the technique of mathematical induction. Therefore, we follow as. (a) For j= 2, since and Then, (b) Suppose that outcome is true for j = mthat is, (c) Now we have to prove that outcome … See more (Idempotency) Let p_{j} = \left( {\mu_{j}^{ + } ,v_{j}^{ + } ,\mu_{j}^{ - } ,v_{j}^{ - } } \right) \;\left( {j = 1,2, \ldots ,n} \right) be any collection of BPFNs. … See more Let is the four bipolar Pythagorean fuzzy numbers with weight vector w = \left( {0.1,0.2,0.3,0.4} \right)^{T}respectively, then we have There are some properties which are fulfilled by the BPFWA operator obviously. See more Web1 Affiliation : Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia
WebIn 1994, Zhang [27,28] inaugurated the idea of YinYang bipolar fuzzy set (bipolar fuzzy set) to deal with double-sided information or bipolar rational approach of human … WebWe interact the theory of possibility Pythagorean bipolar fuzzy soft sets, possibility bipolar fuzzy soft sets and define complementation, union, intersection, AND and OR. The possibility Pythagorean bipolar fuzzy soft sets are presented as …
WebJul 5, 2024 · In this research article, we present a new framework for handling imprecisely acquired bipolar information along with parameterized graded descriptions. The formal model that implements all these desirable features is called bipolar fuzzy N-soft set (also BFNS $$_\\text {f}$$ f S for brevity). We discuss basic operations of our proposed hybrid …
http://fs.unm.edu/neut/BipolarNeutrosophicSoftSets.pdf impact consulting ltdWebOct 31, 2024 · Pythagorean picture fuzzy set (PPFS) - is a combination of Picture fuzzy set with the Yager’s Pythagorean fuzzy set [12-14]. In the first part of the paper [17] we considered basic notions on ... impact consulting los angelesWebDec 23, 2015 · 4 Basic Set Operations for Pythagorean Fuzzy Sets. We now turn to the basic operations needed for combining Pythagorean fuzzy sets Assume A 1 and A 2 are two fuzzy subsets of X with Pythagorean memberships grades. For simplicity we denote for A 1 (x) = (a 1, b 1) and A 2 (x) = (a 2, b 2 ). Here we have a 2 1 + b 2 1 = r 2 1 ≤ 1 and a … impact consulting logohttp://fs.unm.edu/NSS/OnMultiCriteriaDecisionMaking.pdf lis true colors switchlis true colors reviewWebTel.: +84 904 171 284; E-mail: [email protected]. Abstract: Neutrosophic set, proposed by Smarandache considers a truth membership function, an indeterminacy membership function and a falsity membership function. Soft set, proposed by Molodtsov is a mathematical framework which has the ability of independency of parameterizations … listrowseparatorWebBipolar fuzzy relations was given by Bosc and Pivert [3] where a pair of satisfaction degrees is made with each tuple. In 1994, an development of fuzzy set termed bipolar fuzzy was given by Zhang [40].By the notion of fuzzy sets, Lee [16] illustrate bipolar fuzzy sets. Manemaran and Chellappa [20] provide some impact consulting lucy sorrentini