arXiv subjects

Rıdvan Şahin

Publications and source records attributed to Rıdvan Şahin.

3 recordsLinked to original sources

arXiv2014

Multi-criteria neutrosophic decision making method based on score and accuracy functions under neutrosophic environment

A neutrosophic set is a more general platform, which can be used to present uncertainty, imprecise, incomplete and inconsistent. In this paper a score function and an accuracy function for single valued neutrosophic sets is firstly proposed to make the distinction between them. Then the idea is extended to interval neutrosophic sets. A multi-criteria decision making method based on the developed score-accuracy functions is established in which criterion values for alternatives are single valued neutrosophic sets and interval neutrosophic sets. In decision making process, the neutrosophic weighted aggregation operators (arithmetic and geometric average operators) are adopted to aggregate the neutrosophic information related to each alternative. Thus, we can rank all alternatives and make the selection of the best of one(s) according to the score-accuracy functions. Finally, some illustrative examples are presented to verify the developed approach and to demonstrate its practicality and effectiveness.

cs.AI↗

arXiv2014

A Multi-criteria neutrosophic group decision making metod based TOPSIS for supplier selection

The process of multiple criteria decision making (MCDM) is of determining the best choice among all of the probable alternatives. The problem of supplier selection on which decision maker has usually vague and imprecise knowledge is a typical example of multi criteria group decision-making problem. The conventional crisp techniques has not much effective for solving MCDM problems because of imprecise or fuzziness nature of the linguistic assessments. To find the exact values for MCDM problems is both difficult and impossible in more cases in real world. So, it is more reasonable to consider the values of alternatives according to the criteria as single valued neutrosophic sets (SVNS). This paper deal with the technique for order preference by similarity to ideal solution (TOPSIS) approach and extend the TOPSIS method to MCDM problem with single valued neutrosophic information. The value of each alternative and the weight of each criterion are characterized by single valued neutrosophic numbers. Here, the importance of criteria and alternatives is identified by aggregating individual opinions of decision makers (DMs) via single valued neutrosophic weighted averaging (IFWA) operator. The proposed method is, easy use, precise and practical for solving MCDM problem with single valued neutrosophic data. Finally, to show the applicability of the developed method, a numerical experiment for supplier choice is given as an application of single valued neutrosophic TOPSIS method at end of this paper.

cs.AI↗

arXiv2014

Similarity, entropy and subsethood measures based on cardinality of soft hybrid sets

The real world is inherently uncertain, imprecise and vague. Soft set theory was firstly introduced by Molodtsov in 1999 as a general mathematical tool for dealing with uncertainties, not clearly defined objects. A soft set consists of two parts which are parameter set and approximate value set. So while talking about any property on a soft set, it is notable to consider that each parts should be evaluated separately. In this paper, by taking into account this case, we firstly define the concept of cardinality of soft hybrid sets which are soft set, fuzzy soft set, fuzzy parameterized soft set and fuzzy parameterized fuzzy soft set. Then we discuss the entropy, similarity and subsethood measures based on cardinality in a soft hybrid set, and investigate the relationships among these concepts as well as related examples. Finally, we present an application which is a representation method based on cardinality of a soft hybrid space.

math.GM↗