In the past José Carlos R. Alcantud has collaborated on articles with Li Zhang and Yaya Liu. One of their most recent publications is Covering-based general multigranulation intuitionistic fuzzy rough sets and corresponding applications to multi-attribute group decision-making. Which was published in journal Information Sciences.

More information about José Carlos R. Alcantud research including statistics on their citations can be found on their Copernicus Academic profile page.

José Carlos R. Alcantud's Articles: (6)

Covering-based general multigranulation intuitionistic fuzzy rough sets and corresponding applications to multi-attribute group decision-making

AbstractThis paper concerns the intuitionistic fuzzy (IF) decision-making method for solving uncertain or vague problems. This traditional method has imperfections in some particular circumstances. For this reason, we combine rough set theory and the IF decision-making approach in order to design a novel procedure for making decisions. Several types of covering-based general multigranulation IF rough set (CGMIFRS) models are proposed by using four types of IF neighborhoods. A related example to illustrate these models is given. Furthermore, the relationships among the eight kinds of CGMIFRS models are also investigated. By the recourse to the principle of the PROMETHEE II method, a multi-attribute group decision-making (MAGDM) approach with IF information based on CGMIFRS models is set forth. A comparative analysis shows that the optimal objects of our method based on two IF logical operators, the IF PROMETHEE method and the IF aggregation operators are consistent. We conclude that our novel method is more effective to deal with MAGDM problems with IF information than the existing MAGDM methods.

NotesInequality averse criteria for evaluating infinite utility streams: The impossibility of Weak Pareto

AbstractThis paper investigates ethical aggregation of infinite utility streams by representable social welfare relations. We prove that the Hammond Equity postulate and other variations of it like the Pigou–Dalton transfer principle are incompatible with positive responsiveness to welfare improvements by every generation. The case of Hammond Equity for the Future is investigated too.

Rational fuzzy and sequential fuzzy choice

AbstractIn the setting of fuzzy choice theory we explore some relationships among known and new consistency axioms, as well as consequences of rationalizability. Then we define the notion of sequential application of fuzzy choice functions, and investigate its normative implications under related concepts of rationalizability. In particular, the fuzzy Binariness axiom is verified by sequential fuzzy choice, and the Fuzzy Arrow Axiom (when the set of alternatives is finite) is preserved by the newly defined sequential procedure. The latter property ensures that full-rationality is preserved too.

Yet another characterization of the majority rule

Highlights•New characterization of the majority rule (unrestricted societies, binary agenda).•We prove that neither of the axioms in this characterization is superfluous.•We use neither of the three axioms in the original characterization by May (1952).

Hesitant linguistic expression soft sets: Application to group decision making

Highlights•A novel model, hesitant linguistic expression (HLE) soft set is proposed.•A decision making algorithm based on HLE soft set is provided.•A group decision making (GDM) based on HLE soft set is presented.•A novel consensus model for GDM based on HLE soft set is introduced.•Advantages of new proposals are shown by comparison in several examples.

Goodness-of-fit in optimizing a consumer model

AbstractWe provide two new indices of efficiency for determining the degree of coherence in an agent’s consumption decisions. We analyze to what extent they improve the efficiency displayed by Varian’s [9] index. We report on the results of a Monte Carlo experiment that confirms that strict improvements of Varian’s vector-index appear on a regular basis.

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