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010   $a981-15-8756-6
024 7 $a10.1007/978-981-15-8756-6
035   $a(CKB)4100000011558666
035   $a(DE-He213)978-981-15-8756-6
035   $a(MiAaPQ)EBC6383578
035   $a(PPN)252503953
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100   $a20210417d2021      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGraphs for the analysis of bipolar fuzzy information /$fMuhammad Akram, Musavarah Sarwar and Wieslaw A. Dudek
205   $a1st ed. 2021.
210  1$aGateway East, Singapore :$cSpringer,$d[2021]
210  4$d©2021
215   $a1 online resource (XXVIII, 452 p. 241 illus., 2 illus. in color.) 
225 1 $aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v401
300   $aIncludes index.
311   $a981-15-8755-8 
327   $aChapter 1: Bipolar Fuzzy Sets and Bipolar Fuzzy Graphs -- Chapter 2: Distance Measures in Bipolar Fuzzy Graphs -- Chapter 3: Special Types of Bipolar Fuzzy Graphs -- Chapter 4: Bipolar Fuzzy Competition Graphs -- Chapter 5: Bipolar Fuzzy Planar Graphs -- Chapter 6: Domination in Bipolar Fuzzy Graphs -- Chapter 7: Bipolar Fuzzy Circuits -- Chapter 8: Energy in Bipolar Fuzzy Graphs -- Chapter 9: Bipolar Neutrosophic Competition Graphs -- Chapter 10: Bipolar Neutrosophic Graph Structures.
330   $aThis monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information?positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.
410  0$aStudies in Fuzziness and Soft Computing,$x1434-9922 ;$v401
606   $aGraph theory
606   $aFuzzy mathematics
606   $aFuzzy graphs
615  0$aGraph theory.
615  0$aFuzzy mathematics.
615  0$aFuzzy graphs.
676   $a510
700   $aAkram$b Muhammad$0767976
702   $aDudek$b Wieslaw A.
702   $aSarwar$b Musavarah
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bUtOrBLW
906   $aBOOK
912   $a9910483572303321
996   $aGraphs for the analysis of bipolar fuzzy information$92843887
997   $aUNINA