PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Interval-valued Fuzzy Soft Decision Making Methods Based on MABAC, Similarity Measure and EDAS

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Interval-valued fuzzy soft decision making problems have obtained great popularity recently. Most of the current methods depend on level soft set that provide choice value of alternatives to be ranked. Such choice value always encounter the equal condition that the optimal alternative can't be gained. Most important of all, the current decision making procedure is not in accordance with the way that the decision makers think about the decision making problems. In this paper, we initiate a new axiomatic definition of interval-valued fuzzy distance measure and similarity measure, which is expressed by interval-valued fuzzy number (IVFN) that will reduce the information loss and keep more original information. Later, the objective weights of various parameters are determined via grey system theory, meanwhile, we develop the combined weights, which can show both the subjective information and the objective information. Then, we present three algorithms to solve interval-valued fuzzy soft decision making problems by Multi- Attributive Border Approximation area Comparison (MABAC), Evaluation based on Distance from Average Solution (EDAS) and new similarity measure. Three approaches solve some unreasonable conditions and promote the development of decision making methods. Finally, the effectiveness and feasibility of approaches are demonstrated by some numerical examples.
Wydawca
Rocznik
Strony
373--396
Opis fizyczny
Bibliogr. 38 poz., tab.
Twórcy
autor
  • School of Information Science and Engineering, Shaoguan University, Shaoguan, 512005, Guangdong, China
autor
  • School of Information Science and Engineering, Shaoguan University, Shaoguan, 512005, Guangdong, China
autor
  • School of Information Science and Engineering, Shaoguan University, Shaoguan, 512005, Guangdong, China
Bibliografia
  • [1] Molodtsov DA. Soft set theory-first results. Computers and Mathematics with Applications. 1999; 37(4):19-31. doi:10.1016/S0898-1221(99)00056-5.
  • [2] Zadeh LA. Fuzzy sets. Information Control. 1965; 8(3):338-353. doi:10.1016/S0019-9958(65)90241-X.
  • [3] Pawlak Z. Rough sets. International Journal of Computer and Information Sciences. 1982; 11(5):341-356. doi:10.1007/BF01001956.
  • [4] Maji PK, Biswas R, Roy AR. Fuzzy soft sets. Journal of Fuzzy Mathematics. 2001; 9(3):589-602. doi:10.1016/JF0000022.
  • [5] Alcantud JCR. A novel algorithm for fuzzy soft set based decision making from multiobserver input parameter data set. Information Fusion. 2016; 29(5):142-148. URL http://dx.doi.org/10.1016/j.inffus.2015.08.007.
  • [6] Alcantud JCR. Some formal relationships among soft sets, fuzzy sets, and their extensions. International Journal of Approximate Reasoning. 2016; 68(1):45-53. URL http://dx.doi.org/10.1016/j.ijar.2015.10.004.
  • [7] Atanassov KT. Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 1986; 20(1):87-96. doi:10.1016/S0165-0114(86)80034-3.
  • [8] Maji PK, Biswas R, Roy AR. Intuitionistic fuzzy soft sets. Journal of Fuzzy Mathematics. 2001; 9(3):677-692. doi:10.1016/JF0000036.
  • [9] Yager RR, Abbasov AM. Pythagorean membership grades, complex numbers, and decision making. International Journal of Intelligent Systems. 2013; 28(5):436-452. doi:10.1002/int.21584.
  • [10] Peng XD, Yang Y. Some Results for Pythagorean Fuzzy Sets. International Journal of Intelligent Systems. 2015; 30(11):1133-1160. doi:10.1002/int.21738.
  • [11] Peng XD, Yang Y, Song JP, Jiang Y. Pythagoren Fuzzy Soft Set and Its Application. Computer Engineering. 2015; 41(7): 224-229. doi:10.3969/j.issn.1000-3428.2015.07.043.
  • [12] Peng XD, Yang Y. Interval-valued Hesitant Fuzzy Soft Sets and their Application in Decision Making. Fundamenta Informaticae. 2015; 141(1):71-93. doi:10.3233/FI-2015-1264.
  • [13] Yang XB, Lin TY, Yang JY, Li Y, Yu D. Combination of interval-valued fuzzy set and soft set. Computers and Mathematics with Applications. 2009; 58(3):521-527. URL http://dx.doi.org/10.1016/j.camwa.2009.04.019.
  • [14] Jiang YC, Tang Y, Liu H, Chen ZZ. Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets. Information Sciences. 2013; 240(8):95-114. URL http://dx.doi.org/10.1016/j.ins.2013.03.052.
  • [15] Peng XD, Yang Y. Information measures for interval-valued fuzzy soft sets and their clustering algorithm. Journal of Computer Applications. 2015; 35(8):2350-2354. doi:10.11772/j.issn.1001-9081.2015.08.2350.
  • [16] Chetia B, Das PK. An Application of Interval-Valued Fuzzy Soft Sets in Medical Diagnosis. International Journal of Contemporary Mathematical Sciences. 2010; 5(38):1887-1894. URL http://www.m-hikari.com/ijcms-2010/37-40-2010/chetiaIJCMS37-40-2010.pdf.
  • [17] Liu XY, Feng F, Zhang H. On some nonclassical algebraic properties of interval-valued fuzzy soft sets. The Scientific World Journal. 2014; 2014(1):1-11. URL http://dx.doi.org/10.1155/2014/192957.
  • [18] Liu XY, Feng F, Yager RR, Davvaz B, Khan M. On modular inequalities of interval-valued fuzzy soft sets characterized by soft J-inclusions. Journal of Inequalities and Applications. 2014; 2014(1):1-18. doi:10.1186/1029-242X-2014-360.
  • [19] Ma XQ, Qin HW, Sulaiman N, Herawan T, Abawajy JH. The parameter reduction of the interval-valued fuzzy soft sets and its related algorithms. IEEE Transactions on Fuzzy Systems. 2014; 22(1):57-71. doi:10.1109/TFUZZ.2013.2246571.
  • [20] Xiao Z, Chen WJ, Li LL. A method based on interval-valued fuzzy soft set for multi-attribute group decision-making problems under uncertain environment. Knowledge and Information Systems. 2013; 34(3):653-669. doi:10.1007/s10115-012-0496-7.
  • [21] Feng F, Lia YM, Leoreanu-Fotead V. Application of level soft sets in decision making based on intervalvalued fuzzy soft sets. Computers and Mathematics with Applications. 2010; 60(6):1756-1767. URL http://dx.doi.org/10.1016/j.camwa.2010.07.006.
  • [22] Mukherjee A, Sarkar S. Similarity measures of interval-valued fuzzy soft sets and their application in decision making problems. Annals of Fuzzy Mathematics and Informatics. 2014; 8(9):447-460. URL http://www.afmi.or.kr/papers/2014.
  • [23] Yuan F, Hu MJ. Application of interval-valued fuzzy soft sets in evaluation of teaching quality. Journal of Hunan Institute of Science and Technology(Natural Sciences). 2012; 25(1):28-30. URL http://en.cnki.com.cn/Article$\_$en/CJFDTOTAL-YYSF201201007.htm.
  • [24] Peng XD, Yang Y. Algorithms for interval-valued fuzzy soft sets in stochastic multi-criteria decision making based on regret theory and prospect theory with combined weight. Applied Soft Computing. doi:10.1016/j.asoc.2016.06.036.
  • [25] Zeng WY, Guo P. Normalized distance, similarity measure, inclusion measure and entropy of intervalvalued fuzzy sets and their relationship. Information Sciences. 2008; 178(5):1334-1342. URL http://dx.doi.org/10.1016/j.ins.2007.10.007.
  • [26] Zeng WY, Li HX. Relationship between similarity measure and entropy of interval valued fuzzy sets. Fuzzy Sets and Systems. 2006; 157(11):1477-1484. doi:10.1016/j.fss.2005.11.020.
  • [27] Zhang HY, Zhang WX, Mei CL. Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure. Knowledge-Based Systems. 2009; 22(6):449-454. Available from: http://dx.doi.org/10.1016/j.knosys.2009.06.007.
  • [28] Zhang HM, Yue LY. New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets. Information Sciences. 2013; 245:181-196. URL http://dx.doi.org/10.1016/j.ins.2013.04.040.
  • [29] Ghorabaee MK, Zavadskas EK, Olfat L, Turskis Z. Multi-Criteria Inventory Classification Using a New Method of Evaluation Based on Distance from Average Solution (EDAS). Informatica. 2015; 26(3):435-451. URL http://dx.doi.org/10.15388/Informatica.2015.57.
  • [30] Ghorabaee MK, Zavadskas EK, Amiri M, Turskis Z. Extended EDAS Method for Fuzzy Multi-criteria Decision-making: An Application to Supplier Selection. International Journal of Computers Communications and Control. 2016; 11(3):358-371. URL http://univagora.ro/jour/index.php/ijccc/article/view/2557.
  • [31] Peng XD, Liu C. Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set. Journal of Intelligent and Fuzzy Systems. 2017; 32:955-968. doi:10.3233/JIFS-161548.
  • [32] Pamucar D, Cirovic G. The selection of transport and handling resources in logistics centers using Multi-Attributive Border Approximation area Comparison (MABAC). Expert Systems wtih Applications. 2015; 42(6):3016-3028. URL http://dx.doi.org/10.1016/j.eswa.2014.11.057.
  • [33] Peng XD, Yang Y. Pythagorean Fuzzy Choquet Integral Based MABAC Method for Multiple Attribute Group Decision Making. International Journal of Intelligent Systems. 2016; 31(10):989-1020. doi:10.1002/int.21814.
  • [34] Peng XD, Dai JG. Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Computing and Applications. doi:10.1007/s00521-016-2607-y.
  • [35] Liu SF, Dang YG, Fang ZG. Grey systems theory and its applications. Beijing: Science Press, 2000.
  • [36] Zadeh L. The concept of a linguistic variable and its application to approximate reasoning I. Information Sciences. 1975; 8(3):199-249. doi:10.1016/0020-0255(75)90036-5.
  • [37] Xu ZS, Da QL. The uncertain OWA operator. International Journal of Intelligent Systems. 2002; 17(6):569-575. doi:10.1002/int.10038.
  • [38] Xu ZS, Yager RR. Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems. 2006; 35(4):417-433. URL http://dx.doi.org/10.1080/03081070600574353.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8cc63494-a361-4280-a352-f1d89cd2cf3b
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.