Main Article Content
In this study, we first define the concept of fuzzy soft expert graph. The authors have established a link between graphs and fuzzy soft expert sets. Basic operations of fuzzy soft expert graphs such as union, intersection and complement are defined here. The concept of fuzzy soft expert soft graph is also discussed in this article. The new concept is called fuzzy soft expert graph-based multi-criteria decision making method.
Molodtsov DA. Soft set theory-first results. Computers and Mathematics with Applications. 1999;37:19-31.
Maji PK, Roy AR, Biswas R. Soft set theory. Computers and Mathematics with Applications. 2003;45(4-5):555–562.
Alkhazaleh S, Salleh AR. Soft expert sets. Advances in Decision Sciences. 2011;1-12. Article ID: 757868.
Alkhazaleh S, Salleh AR. Fuzzy soft expert set and its application. Applied Mathematics. 2014;5:1349-1368.
Mohinta S, Samanta TK. An introduction to fuzzy soft graph. Mathematica Moravica. 2015;19(2):35-48.
Muthuraj R, Sasireka A. Fuzzy dominator coloring and fuzzy chromatic number on Cartesian product of simple fuzzy graph. Advances in Theoretical and Applied Mathematics. 2016;11(3):245-260.
Mathew S, Sunitha MS. Types of arcs in a fuzzy graph. Information Sciences. 2009;179(11):1760-1768.
Mathew S, Sunitha MS. Node connectivity and arc connectivity of a fuzzy graph. Information Sciences. 2010;180(4):519-531.
Mathew JK, Mathew S. On strong extremal problems in fuzzy graphs. Journal of Intelligent & Fuzzy Systems, (Preprint). 2016;30:2497–2503.
Rashmanlou H, Samanta S, Pal M, Borzooei RA. A study on vague graphs. SpringerPlus. 2016;5(1):1234.
Shahzadi S, Akram M. Intuitionistic fuzzy soft graphs with applications. Journal of Applied Mathematics and Computing. 2016;1-24.
Uluçay V, Şahin M, Olgun N. Time-neutrosophic soft expert sets and its decision making problem. Matematika. 2018;34(2):246-260.
Uluçay V, Kılıç A, Yıldız İ, Sahin M. A new approach for multi-attribute decision-making problems in bipolar neutrosophic sets. Neutrosophic Sets and Systems. 2018;23(1):142-159.
Uluçay V, Şahin M, Hassan N. Generalized neutrosophic soft expert set for multiple-criteria decision-making. Symmetry. 2018;10(10):437.
Sahin M, Olgun N, Uluçay V, Kargın A, Smarandache F. A new similarity measure based on falsity value between single valued neutrosophic sets based on the centroid points of transformed single valued neutrosophic numbers with applications to pattern recognition. Infinite Study; 2018.
Şahin M, Uluçay V, Acıoglu H. Some weighted arithmetic operators and geometric operators with SVNSs and their application to multi-criteria decision making problems. Infinite Study; 2018.
Şahin M, Uluçay V, Broumi S. Bipolar neutrosophic soft expert set theory. Infinite Study; 2018.
Şahin M, Alkhazaleh S, Uluçay V. Neutrosophic soft expert sets. Applied Mathematics. 2015;6(1):116.
Uluçay V, Deli I, Şahin M. Similarity measures of bipolar neutrosophic sets and their application to multiple criteria decision making. Neural Computing and Applications. 2018;29(3):739-748.
Şahin M, Deli I, Uluçay V. Jaccard vector similarity measure of bipolar neutrosophic set based on multi-criteria decision making. Infinite Study; 2016.
Hassan N, Uluçay V, Şahin M. Q-neutrosophic soft expert set and its application in decision making. International Journal of Fuzzy System Applications (IJFSA). 2018;7(4):37-61.
Broumi S, Bakali A, Talea M, Smarandache F, Singh PK, Uluçay V, Khan M. Bipolar complex neutrosophic sets and its application in decision making problem. In Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Springer, Cham. 2019;677-710.
Uluçay V, Kılıç A, Şahin M, Deniz H. A new hybrid distance-based similarity measure for refined neutrosophic sets and its application in medical diagnosis. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics. 2019;35(1):83-94.
Lakdashti A, Rashmanlou H, Borzooei RA, Samanta S, Pal M. New concepts of bipolar fuzzy graphs. Journal of Multiple-Valued Logic & Soft Computing. 2019;33.
Akram M. m-Polar fuzzy graphs. Studies in Fuzziness and Soft Computing; Springer: Berlin, Germany. 2019;371:1-284.
Mandal S, Pal M. Product of bıpolar ıntuıtıonıstıc fuzzy graphs and theır degree. TWMS Journal of Applied and Engineering Mathematics. 2019;9(2):327.
Kalathian S, Ramalingam S, Srinivasan N, Raman S, Broumi S. Embedding of fuzzy graphs on topological surfaces. Neural Computing and Applications. 2019;1-11.
Rashmanlou H, Pal M, Raut S, Mofidnakhaei F, Sarkar B. Novel concepts in intuitionistic fuzzy graphs with application. Journal of Intelligent & Fuzzy Systems, (Preprint). 2019;1-7.
Jan N, Ullah K, Mahmood T, Garg H, Davvaz B, Saeid AB, Broumi S. Some root level modifications in interval valued fuzzy graphs and their generalizations including neutrosophic graphs. Mathematics. 2019;7(1):72.
Gani AN, Ahamed MB. Order and size in fuzzy graph. Bulletin of Pure and Applied Sciences E. 2003;22:145-148.
Gani AN, Begum SS. Degree, order and size in intuitionistic fuzzy graphs. International Journal of Algorithms, Computing and Mathematics. 2010;3(3):11-16.