A Note on L-Fuzzy Bags and Their Expected Values-Reference-Cited by-同舟云学术

A Note on L-Fuzzy Bags and Their Expected Values

Published:2016-06-01 Issue:1 Volume:66 Page:73-80
ISSN:1210-3195
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Kouchakinejad Fateme¹,Mashinchi Mashaallah²,Mesiar Radko³

Affiliation:

1. Fateme Kouchakinejad Department of Mathematics Graduate University of Advanced Technology Kerman, Iran (Islamic Republic of)

2. Department of Statistics Faculty of Mathematics and Computer Sciences Shahid Bahonar University of Kerman, Iran (Islamic Republic of)

3. Department of Mathematics and Descriptive Geometry Faculty of Civil Engineering Slovak University of Technology in Bratislava Radlinského 11 SK–810-05 Bratislava, Slovakia

Abstract

Abstract A definition of L-fuzzy bags is introduced and studied. In this approach, according to the concept given by M. Delgado et al. (2009), each bag has two parts: function and summary information. Then, the definition of L-fuzzy bag expected value is introduced. In the case L = [0,1], several integral-based fuzzy bag expected values are prepared. By some examples, the new concepts are illustrated.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference10 articles.

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2. [2] DELGADO, M.-RUIZ, M. D.-SANCHEZ, D.: RL-bags: a conceptual, level-based approach to fuzzy bags, Fuzzy Sets and Systems 208 (2012), 111-128.

3. [3] KLEMENT, E. P.-MESIAR, R.: On the expected value of fuzzy events, Internat. J. Uncertain. 23 (2015), 57-74.

4. [4] KLEMENT, E. P.-MESIAR, R.-PAP, E.: A universal integral as common frame for Choquet and Sugeno integral, IEEE Trans. Fuzzy Syst. 18 (2010), 178-187.

5. [5] KOUCHAKINEJAD, F.-MASHINCHI, M.: Algebraic structure of bags and fuzzy bags, in: The 46th Annual Iranian Mathematics Conference-AIMC ’46, Yazd University, Yazd, Iran, 2015, pp. 1295-1298.

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1. A Note on L-Fuzzy Bags and Their Expected Values;Tatra Mountains Mathematical Publications;2016-06-01