Bipolar pythagorean fuzzy sets examples
Web1 Affiliation : Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia WebMar 23, 2013 · In this article, we combine the concept of a bipolar fuzzy set and a soft set. We introduce the notion of bipolar fuzzy soft set and study fundamental properties. We …
Bipolar pythagorean fuzzy sets examples
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Webcalled fuzzy open sets. A fuzzy set Kis called fuzzy closed if Kc 2˝. We denote by ˝c the collection of all fuzzy closed sets in this fuzzy topological space. Obviously, we have: (a) c2˝, (b) if K;M2˝ c, then K_M2˝ and (c) if fK j: j2Jg2˝c, then ^fK j: j2Jg2˝c. Example 2.1.2 [6]. Let X = fa;bg. Let Abe a fuzzy set on X de ned as A(a) = 1 ... http://ethesis.nitrkl.ac.in/4994/1/411MA2074.pdf
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 … WebApr 7, 2024 · The innovative approach of this article is to devise the key notion on bipolar complex Pythagorean fuzzy set (\({\mathcal{B}\mathcal{C}\mathcal{P}\mathcal{F}}s\)), …
http://fs.unm.edu/neut/BipolarNeutrosophicSetsAndTheirApplication.pdf 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
WebJan 4, 2024 · Mandal [40] has developed bipolar pythagorean fuzzy sets and their application in multi-attribute decision making problems. Das [41] has developed multi …
Webwww.ijaema.com photo injector test facilityWebApr 10, 2024 · A q-rung orthopair fuzzy set (q-ROFS), an extension of the Pythagorean fuzzy set (PFS) and intuitionistic fuzzy set (IFS), is very helpful in representing vague information that occurs in real ... how does health affect developmentWebKeywords− Bipolar Pythagorean fuzzy set, bipolar Pythagorean fuzzy subring, bipolar Pythagorean fuzzy product 1. Introduction ... Example 3.2. Let ={0,1} be a set of … how does health app track distanceWebintroduced the concept of bipolar fuzzy sets which is an generalization of the fuzzy sets. Recently, bipolar fuzzy model s have been studied by many authors on algebraic … how does health affect child developmentWebPythagorean 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. how does health affect growth and developmentWebFeb 1, 2002 · A crisp bipolar combinational logic BCLI and its fuzzy counterpart BCLF are proposed for bipolar modeling based on the ancient … photo ingrid bergmanhow does health canada define health