Irfan Deli

Bio: Irfan Deli is an academic researcher. The author has contributed to research in topics: Soft set & Fuzzy logic. The author has an hindex of 28, co-authored 84 publications receiving 2385 citations.

Intuitionistic fuzzy parameterized soft set theory and its decision making

Abstract: HighlightsWe define a intuitionistic fuzzy parameterized soft sets for dealing with uncertainties that is based on both soft sets and intuitionistic fuzzy sets.We investigated their operations and properties.We introduce a decision making method based on intuitionistic FP-soft sets. In this work, we first define intuitionistic fuzzy parameterized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. Finally, we give a numerical example which shows that this method successfully works.

A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems

Abstract: The concept of a single valued neutrosophic number (SVN-number) is of importance for quantifying an ill-known quantity and the ranking of SVN-numbers is a very difficult problem in multi-attribute decision making problems. The aim of this paper is to present a methodology for solving multi-attribute decision making problems with SVN-numbers. Therefore, we firstly defined the concepts of cut sets of SVN-numbers and then applied to single valued trapezoidal neutrosophic numbers (SVTN-numbers) and triangular neutrosophic numbers (SVTrN-numbers). Then, we proposed the values and ambiguities of the truth-membership function, indeterminacy-membership function and falsity-membership function for a SVN-numbers and studied some desired properties. Also, we developed a ranking method by using the concept of values and ambiguities, and applied to multi-attribute decision making problems in which the ratings of alternatives on attributes are expressed with SVTN-numbers.

Interval-valued neutrosophic soft sets and its decision making

Abstract: In this paper, the notion of the interval valued neutrosophic soft sets (ivn soft sets) is defined which is a combination of an interval valued neutrosophic sets [36] and a soft sets [30]. Our ivn soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set, intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn soft sets sets. Some properties of ivn soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach. Keyword: Interval sets, soft sets, fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, level soft set.

Bipolar neutrosophic sets and their application based on multi-criteria decision making problems

Abstract: In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted average operator (A w ) and bipolar neutrosophic weighted geometric operator (G w ) to aggregate the bipolar neutrosophic information. Furthermore, based on the (A w ) and (G W ) operators and the score, certainty and accuracy functions, we develop a bipolar neutrosophic multiple criteria decision-making approach, in which the evaluation values of alternatives on the attributes take the form of bipolar neutrosophic numbers to select the most desirable one(s). Finally, a numerical example of the method was given to demonstrate the application and effectiveness of the developed method.

Interval-valued neutrosophic soft sets and its decision making

Abstract: In this paper, the notion of the interval valued neutrosophic soft set (ivn-soft sets) is defined which is a combination of an interval valued neutrosophic set [35] and a soft set [29]. Our ivn-soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set, intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn-soft sets sets. Some properties of ivn-soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn-soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach.