Possibility Interval-Valued Vague Soft Expert Sets and Its Similarity Measure

In this paper, the authors aim to extend the notion of interval-valued vague soft sets to establish the concept of possibility interval-valued vague soft expert sets. The set theoretic operations of this concept and other related concepts are introduced. The algebraic properties of this notion such as the laws of commutativity, associativity and De Morgan are established and verified. Lastly, the similarity measure between this set is introduced and illustrated using a hypothetical example related to texture synthesis.

[1]  Jian-qiang Wang,et al.  Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems , 2015, TheScientificWorldJournal.

[2]  Khaleed Alhazaymeh,et al.  Interval-Valued Vague Soft Sets and Its Application , 2012, Adv. Fuzzy Syst..

[3]  Pinaki Majumdar,et al.  Generalised fuzzy soft sets , 2010, Comput. Math. Appl..

[4]  Xiaohong Chen,et al.  Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making , 2014, J. Appl. Math..

[5]  W.-L. Gau,et al.  Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[6]  Abdul Razak Salleh,et al.  Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals , 2015, TheScientificWorldJournal.

[7]  Jiang-Xia Nan,et al.  AN INTERVAL-VALUED PROGRAMMING APPROACH TO MATRIX GAMES WITH PAYOFFS OF TRIANGULAR INTUITIONISTIC FUZZY NUMBERS , 2014 .

[8]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .

[9]  Abdul Razak Salleh,et al.  A vague soft set theoretic approach to multiattribute decision making problems , 2014 .

[10]  Deng-Feng Li Notes on "Possibilistic programming approach for fuzzy multidimensional analysis of preference in group decision making" , 2014, Comput. Ind. Eng..

[11]  Lianglin Xiong,et al.  On Interval-Valued Hesitant Fuzzy Soft Sets , 2015 .

[12]  Shyi-Ming Chen,et al.  Measures of similarity between vague sets , 1995, Fuzzy Sets Syst..

[13]  Abdul Razak Salleh,et al.  Relations between complex vague soft sets , 2016, Appl. Soft Comput..

[14]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[15]  Abdul Razak Salleh,et al.  Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making , 2015, Int. J. Math. Math. Sci..

[16]  Xiaoyan Wang,et al.  Improved Crosstalk Reduction on Multiview 3D Display by Using BILS Algorithm , 2014, J. Appl. Math..

[17]  D. Molodtsov Soft set theory—First results , 1999 .

[18]  Jian Ma,et al.  Vague soft sets and their properties , 2010, Comput. Math. Appl..

[19]  Abdul Razak Salleh,et al.  Rings and ideals in a vague soft set setting , 2015 .

[20]  Ganeshsree Selvachandran,et al.  Complex vague soft sets and its distance measures , 2016, J. Intell. Fuzzy Syst..

[21]  Li Dengfeng,et al.  New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions , 2002, Pattern Recognit. Lett..

[22]  Deng-Feng Li,et al.  A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets , 2017, Int. J. Fuzzy Syst..

[23]  C. L. Philip Chen,et al.  Adaptive Fuzzy Leader-Following Consensus Control for Stochastic Multiagent Systems with Heterogeneous Nonlinear Dynamics , 2017, IEEE Transactions on Fuzzy Systems.

[24]  Dengfeng Li,et al.  LINEAR PROGRAMMING TECHNIQUE FOR SOLVING INTERVAL-VALUED CONSTRAINT MATRIX GAMES , 2014 .