2014
DOI: 10.3233/ifs-131009
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Multi Q-fuzzy parameterized soft set and its application

Abstract: In this paper, we give the definitions of a multi Q-fuzzy set and a multi Q-fuzzy parameterized soft (M k QFP−soft) set and their operations, namely complement, quality, subset, union, and intersection operations. We then propose a decision making method based on M k QFP−soft set theory. We finally give an example which shows that the method can be successfully applied to problems that contain uncertainties.

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Cited by 39 publications
(20 citation statements)
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References 12 publications
(9 reference statements)
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“…Currently, the study on soft sets is developing promptly such as fuzzy soft sets [8,9], intuitionistic fuzzy soft sets [10,11] and multi-fuzzy soft sets [12]. Following from there, Alkhazaleh and Salleh [13] investigated the theory of soft expert sets, which later broadened to a fuzzy soft expert set theory [14], a bipolar fuzzy soft expert set [15], a multi Q-fuzzy soft expert set [16], and a neutrosophic soft expert set [17,18].…”
Section: Introductionmentioning
confidence: 99%
“…Currently, the study on soft sets is developing promptly such as fuzzy soft sets [8,9], intuitionistic fuzzy soft sets [10,11] and multi-fuzzy soft sets [12]. Following from there, Alkhazaleh and Salleh [13] investigated the theory of soft expert sets, which later broadened to a fuzzy soft expert set theory [14], a bipolar fuzzy soft expert set [15], a multi Q-fuzzy soft expert set [16], and a neutrosophic soft expert set [17,18].…”
Section: Introductionmentioning
confidence: 99%
“…Presently, work on soft set theory is progressing rapidly. Various operations and applications of soft sets were developed rapidly, including multi-adjoint t-concept lattices [5], signatures, definitions, operators and applications to fuzzy modelling [6], fuzzy inference system optimized by genetic algorithm for robust face and pose detection [7], fuzzy multi-objective modeling of effectiveness and user experience in online advertising [8], possibility fuzzy soft set [9], soft multiset theory [10], multiparameterized soft set [11], soft intuitionistic fuzzy sets [12], Q-fuzzy soft sets [13][14][15], and multi Q-fuzzy sets [16][17][18], thereby opening avenues to many applications [19,20]. Later, Maji [21] introduced a more generalized concept, which is a combination of neutrosophic sets and soft sets and studied its properties.…”
Section: Introductionmentioning
confidence: 99%
“…From this point of view, the idea of Q-fuzzy sets was came out. Afterwards, the concept of multi Q-fuzzy soft sets [20][21][22][23][24] was established to combine the key feature of soft sets and Q-fuzzy sets with multi membership values. The notion of multi Q-hesitant fuzzy soft sets is the generalization of multi Q-fuzzy soft sets.…”
Section: Introductionmentioning
confidence: 99%